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Finding the Fourth Proportional to 242,169.32, 363,267.64 and 73,695.14

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Solution

The fourth proportional to 242,169.32, 363,267.64 and 73,695.14 is: 110,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,169.32 : 363,267.64 = 73,695.14 : x
  2. Step 2: Convert to fraction form
    242,169.32/363,267.64 = 73,695.14/x
  3. Step 3: Cross multiply
    242,169.32x = 363,267.64 × 73,695.14
  4. Step 4: Simplify right side
    242,169.32x = 26,771,059,587.27
  5. Step 5: Solve for x
    x = 26,771,059,587.27/242,169.32
  6. Step 6: Final answer
    x = 110,546.87

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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.