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Finding the Fourth Proportional to 242,562.60, 363,843.90 and 147,695.40

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Solution

The fourth proportional to 242,562.60, 363,843.90 and 147,695.40 is: 221,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562.60 : 363,843.90 = 147,695.40 : x
  2. Step 2: Convert to fraction form
    242,562.60/363,843.90 = 147,695.40/x
  3. Step 3: Cross multiply
    242,562.60x = 363,843.90 × 147,695.40
  4. Step 4: Simplify right side
    242,562.60x = 53,738,070,348.06
  5. Step 5: Solve for x
    x = 53,738,070,348.06/242,562.60
  6. Step 6: Final answer
    x = 221,543.10

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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.