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Finding the Fourth Proportional to 242,562.30, 363,713.85 and 102,162.30

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Solution

The fourth proportional to 242,562.30, 363,713.85 and 102,162.30 is: 153,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562.30 : 363,713.85 = 102,162.30 : x
  2. Step 2: Convert to fraction form
    242,562.30/363,713.85 = 102,162.30/x
  3. Step 3: Cross multiply
    242,562.30x = 363,713.85 × 102,162.30
  4. Step 4: Simplify right side
    242,562.30x = 37,157,843,457.86
  5. Step 5: Solve for x
    x = 37,157,843,457.86/242,562.30
  6. Step 6: Final answer
    x = 153,188.87

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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.