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Finding the Fourth Proportional to 242,567.30, 363,721.35 and 84,800.90

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Solution

The fourth proportional to 242,567.30, 363,721.35 and 84,800.90 is: 127,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,567.30 : 363,721.35 = 84,800.90 : x
  2. Step 2: Convert to fraction form
    242,567.30/363,721.35 = 84,800.90/x
  3. Step 3: Cross multiply
    242,567.30x = 363,721.35 × 84,800.90
  4. Step 4: Simplify right side
    242,567.30x = 30,843,897,829.22
  5. Step 5: Solve for x
    x = 30,843,897,829.22/242,567.30
  6. Step 6: Final answer
    x = 127,156.04

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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.