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Finding the Fourth Proportional to 242,520.18, 363,820.77 and 109,397.49

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Solution

The fourth proportional to 242,520.18, 363,820.77 and 109,397.49 is: 164,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,520.18 : 363,820.77 = 109,397.49 : x
  2. Step 2: Convert to fraction form
    242,520.18/363,820.77 = 109,397.49/x
  3. Step 3: Cross multiply
    242,520.18x = 363,820.77 × 109,397.49
  4. Step 4: Simplify right side
    242,520.18x = 39,801,079,047.87
  5. Step 5: Solve for x
    x = 39,801,079,047.87/242,520.18
  6. Step 6: Final answer
    x = 164,114.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.