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Finding the Fourth Proportional to 224,875.52, 337,364.48 and 77,122.56

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Solution

The fourth proportional to 224,875.52, 337,364.48 and 77,122.56 is: 115,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,875.52 : 337,364.48 = 77,122.56 : x
  2. Step 2: Convert to fraction form
    224,875.52/337,364.48 = 77,122.56/x
  3. Step 3: Cross multiply
    224,875.52x = 337,364.48 × 77,122.56
  4. Step 4: Simplify right side
    224,875.52x = 26,018,412,350.67
  5. Step 5: Solve for x
    x = 26,018,412,350.67/224,875.52
  6. Step 6: Final answer
    x = 115,701.40

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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.