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Finding the Fourth Proportional to 242,193.15, 363,125.70 and 123,767.10

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Solution

The fourth proportional to 242,193.15, 363,125.70 and 123,767.10 is: 185,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,193.15 : 363,125.70 = 123,767.10 : x
  2. Step 2: Convert to fraction form
    242,193.15/363,125.70 = 123,767.10/x
  3. Step 3: Cross multiply
    242,193.15x = 363,125.70 × 123,767.10
  4. Step 4: Simplify right side
    242,193.15x = 44,943,014,824.47
  5. Step 5: Solve for x
    x = 44,943,014,824.47/242,193.15
  6. Step 6: Final answer
    x = 185,566.83

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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.