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Finding the Fourth Proportional to 221,153.50, 331,730.16 and 71,415.82

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Solution

The fourth proportional to 221,153.50, 331,730.16 and 71,415.82 is: 107,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,153.50 : 331,730.16 = 71,415.82 : x
  2. Step 2: Convert to fraction form
    221,153.50/331,730.16 = 71,415.82/x
  3. Step 3: Cross multiply
    221,153.50x = 331,730.16 × 71,415.82
  4. Step 4: Simplify right side
    221,153.50x = 23,690,781,395.13
  5. Step 5: Solve for x
    x = 23,690,781,395.13/221,153.50
  6. Step 6: Final answer
    x = 107,123.70

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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.