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Finding the Fourth Proportional to 177,428.80, 266,143.20 and 127,856.80

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Solution

The fourth proportional to 177,428.80, 266,143.20 and 127,856.80 is: 191,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,428.80 : 266,143.20 = 127,856.80 : x
  2. Step 2: Convert to fraction form
    177,428.80/266,143.20 = 127,856.80/x
  3. Step 3: Cross multiply
    177,428.80x = 266,143.20 × 127,856.80
  4. Step 4: Simplify right side
    177,428.80x = 34,028,217,893.76
  5. Step 5: Solve for x
    x = 34,028,217,893.76/177,428.80
  6. Step 6: Final answer
    x = 191,785.20

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