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Finding the Fourth Proportional to 242,442.69, 363,294.96 and 115,909.05

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Solution

The fourth proportional to 242,442.69, 363,294.96 and 115,909.05 is: 173,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,442.69 : 363,294.96 = 115,909.05 : x
  2. Step 2: Convert to fraction form
    242,442.69/363,294.96 = 115,909.05/x
  3. Step 3: Cross multiply
    242,442.69x = 363,294.96 × 115,909.05
  4. Step 4: Simplify right side
    242,442.69x = 42,109,173,683.39
  5. Step 5: Solve for x
    x = 42,109,173,683.39/242,442.69
  6. Step 6: Final answer
    x = 173,687.12

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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.