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Finding the Fourth Proportional to 242,702.55, 363,767.88 and 109,426.77

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Solution

The fourth proportional to 242,702.55, 363,767.88 and 109,426.77 is: 164,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,702.55 : 363,767.88 = 109,426.77 : x
  2. Step 2: Convert to fraction form
    242,702.55/363,767.88 = 109,426.77/x
  3. Step 3: Cross multiply
    242,702.55x = 363,767.88 × 109,426.77
  4. Step 4: Simplify right side
    242,702.55x = 39,805,944,138.15
  5. Step 5: Solve for x
    x = 39,805,944,138.15/242,702.55
  6. Step 6: Final answer
    x = 164,011.23

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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.