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Finding the Fourth Proportional to 114,454.29, 157,963.26 and 63,478.35

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Solution

The fourth proportional to 114,454.29, 157,963.26 and 63,478.35 is: 87,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,454.29 : 157,963.26 = 63,478.35 : x
  2. Step 2: Convert to fraction form
    114,454.29/157,963.26 = 63,478.35/x
  3. Step 3: Cross multiply
    114,454.29x = 157,963.26 × 63,478.35
  4. Step 4: Simplify right side
    114,454.29x = 10,027,247,105.42
  5. Step 5: Solve for x
    x = 10,027,247,105.42/114,454.29
  6. Step 6: Final answer
    x = 87,609.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.