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Finding the Fourth Proportional to 116,776, 161,151.52 and 63,784

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Solution

The fourth proportional to 116,776, 161,151.52 and 63,784 is: 88,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,776 : 161,151.52 = 63,784 : x
  2. Step 2: Convert to fraction form
    116,776/161,151.52 = 63,784/x
  3. Step 3: Cross multiply
    116,776x = 161,151.52 × 63,784
  4. Step 4: Simplify right side
    116,776x = 10,278,888,551.68
  5. Step 5: Solve for x
    x = 10,278,888,551.68/116,776
  6. Step 6: Final answer
    x = 88,022.27

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Why These Related Problems?

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