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Finding the Fourth Proportional to 151,056, 208,457.28 and 83,988

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Solution

The fourth proportional to 151,056, 208,457.28 and 83,988 is: 115,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,056 : 208,457.28 = 83,988 : x
  2. Step 2: Convert to fraction form
    151,056/208,457.28 = 83,988/x
  3. Step 3: Cross multiply
    151,056x = 208,457.28 × 83,988
  4. Step 4: Simplify right side
    151,056x = 17,507,910,032.64
  5. Step 5: Solve for x
    x = 17,507,910,032.64/151,056
  6. Step 6: Final answer
    x = 115,903.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.