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Finding the Fourth Proportional to 354,702.62, 532,063.12 and 101,972.90

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Solution

The fourth proportional to 354,702.62, 532,063.12 and 101,972.90 is: 152,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,702.62 : 532,063.12 = 101,972.90 : x
  2. Step 2: Convert to fraction form
    354,702.62/532,063.12 = 101,972.90/x
  3. Step 3: Cross multiply
    354,702.62x = 532,063.12 × 101,972.90
  4. Step 4: Simplify right side
    354,702.62x = 54,256,019,329.45
  5. Step 5: Solve for x
    x = 54,256,019,329.45/354,702.62
  6. Step 6: Final answer
    x = 152,961.99

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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.