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Finding the Fourth Proportional to 109,211.80, 163,817.70 and 42,654.10

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Solution

The fourth proportional to 109,211.80, 163,817.70 and 42,654.10 is: 63,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,211.80 : 163,817.70 = 42,654.10 : x
  2. Step 2: Convert to fraction form
    109,211.80/163,817.70 = 42,654.10/x
  3. Step 3: Cross multiply
    109,211.80x = 163,817.70 × 42,654.10
  4. Step 4: Simplify right side
    109,211.80x = 6,987,496,557.57
  5. Step 5: Solve for x
    x = 6,987,496,557.57/109,211.80
  6. Step 6: Final answer
    x = 63,981.15

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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.