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Finding the Fourth Proportional to 272,972.70, 409,386.15 and 83,432.70

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Solution

The fourth proportional to 272,972.70, 409,386.15 and 83,432.70 is: 125,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,972.70 : 409,386.15 = 83,432.70 : x
  2. Step 2: Convert to fraction form
    272,972.70/409,386.15 = 83,432.70/x
  3. Step 3: Cross multiply
    272,972.70x = 409,386.15 × 83,432.70
  4. Step 4: Simplify right side
    272,972.70x = 34,156,191,837.11
  5. Step 5: Solve for x
    x = 34,156,191,837.11/272,972.70
  6. Step 6: Final answer
    x = 125,126.77

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Why These Related Problems?

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