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Finding the Fourth Proportional to 137,154.71, 189,293.67 and 83,429.30

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Solution

The fourth proportional to 137,154.71, 189,293.67 and 83,429.30 is: 115,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.71 : 189,293.67 = 83,429.30 : x
  2. Step 2: Convert to fraction form
    137,154.71/189,293.67 = 83,429.30/x
  3. Step 3: Cross multiply
    137,154.71x = 189,293.67 × 83,429.30
  4. Step 4: Simplify right side
    137,154.71x = 15,792,637,436.06
  5. Step 5: Solve for x
    x = 15,792,637,436.06/137,154.71
  6. Step 6: Final answer
    x = 115,144.70

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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.