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Finding the Fourth Proportional to 114,565.70, 171,848.55 and 102,512.90

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Solution

The fourth proportional to 114,565.70, 171,848.55 and 102,512.90 is: 153,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,565.70 : 171,848.55 = 102,512.90 : x
  2. Step 2: Convert to fraction form
    114,565.70/171,848.55 = 102,512.90/x
  3. Step 3: Cross multiply
    114,565.70x = 171,848.55 × 102,512.90
  4. Step 4: Simplify right side
    114,565.70x = 17,616,693,221.30
  5. Step 5: Solve for x
    x = 17,616,693,221.30/114,565.70
  6. Step 6: Final answer
    x = 153,769.35

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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.