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Finding the Fourth Proportional to 186,038.16, 256,298.76 and 129,351.12

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Solution

The fourth proportional to 186,038.16, 256,298.76 and 129,351.12 is: 178,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,038.16 : 256,298.76 = 129,351.12 : x
  2. Step 2: Convert to fraction form
    186,038.16/256,298.76 = 129,351.12/x
  3. Step 3: Cross multiply
    186,038.16x = 256,298.76 × 129,351.12
  4. Step 4: Simplify right side
    186,038.16x = 33,152,531,660.61
  5. Step 5: Solve for x
    x = 33,152,531,660.61/186,038.16
  6. Step 6: Final answer
    x = 178,202.86

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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.