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Finding the Fourth Proportional to 190,978.16, 286,459.94 and 64,627.88

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Solution

The fourth proportional to 190,978.16, 286,459.94 and 64,627.88 is: 96,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,978.16 : 286,459.94 = 64,627.88 : x
  2. Step 2: Convert to fraction form
    190,978.16/286,459.94 = 64,627.88/x
  3. Step 3: Cross multiply
    190,978.16x = 286,459.94 × 64,627.88
  4. Step 4: Simplify right side
    190,978.16x = 18,513,297,356.40
  5. Step 5: Solve for x
    x = 18,513,297,356.40/190,978.16
  6. Step 6: Final answer
    x = 96,939.35

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Why These Related Problems?

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