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Finding the Fourth Proportional to 242,641.44, 363,713.28 and 109,614.72

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Solution

The fourth proportional to 242,641.44, 363,713.28 and 109,614.72 is: 164,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,641.44 : 363,713.28 = 109,614.72 : x
  2. Step 2: Convert to fraction form
    242,641.44/363,713.28 = 109,614.72/x
  3. Step 3: Cross multiply
    242,641.44x = 363,713.28 × 109,614.72
  4. Step 4: Simplify right side
    242,641.44x = 39,868,329,347.48
  5. Step 5: Solve for x
    x = 39,868,329,347.48/242,641.44
  6. Step 6: Final answer
    x = 164,309.65

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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.