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Finding the Fourth Proportional to 242,601, 363,499.17 and 147,543.66

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Solution

The fourth proportional to 242,601, 363,499.17 and 147,543.66 is: 221,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,601 : 363,499.17 = 147,543.66 : x
  2. Step 2: Convert to fraction form
    242,601/363,499.17 = 147,543.66/x
  3. Step 3: Cross multiply
    242,601x = 363,499.17 × 147,543.66
  4. Step 4: Simplify right side
    242,601x = 53,631,997,948.76
  5. Step 5: Solve for x
    x = 53,631,997,948.76/242,601
  6. Step 6: Final answer
    x = 221,070.80

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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.