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Finding the Fourth Proportional to 106,978,196.40, 160,457,963.40 and 35,174,612.40

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Solution

The fourth proportional to 106,978,196.40, 160,457,963.40 and 35,174,612.40 is: 52,758,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978,196.40 : 160,457,963.40 = 35,174,612.40 : x
  2. Step 2: Convert to fraction form
    106,978,196.40/160,457,963.40 = 35,174,612.40/x
  3. Step 3: Cross multiply
    106,978,196.40x = 160,457,963.40 × 35,174,612.40
  4. Step 4: Simplify right side
    106,978,196.40x = 5,644,046,669,088,386
  5. Step 5: Solve for x
    x = 5,644,046,669,088,386/106,978,196.40
  6. Step 6: Final answer
    x = 52,758,850.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.