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Finding the Fourth Proportional to 242,611.20, 363,965.92 and 102,369.60

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Solution

The fourth proportional to 242,611.20, 363,965.92 and 102,369.60 is: 153,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,611.20 : 363,965.92 = 102,369.60 : x
  2. Step 2: Convert to fraction form
    242,611.20/363,965.92 = 102,369.60/x
  3. Step 3: Cross multiply
    242,611.20x = 363,965.92 × 102,369.60
  4. Step 4: Simplify right side
    242,611.20x = 37,259,045,644.03
  5. Step 5: Solve for x
    x = 37,259,045,644.03/242,611.20
  6. Step 6: Final answer
    x = 153,575.13

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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.