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Finding the Fourth Proportional to 109,165.20, 163,834.20 and 42,637.20

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Solution

The fourth proportional to 109,165.20, 163,834.20 and 42,637.20 is: 63,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165.20 : 163,834.20 = 42,637.20 : x
  2. Step 2: Convert to fraction form
    109,165.20/163,834.20 = 42,637.20/x
  3. Step 3: Cross multiply
    109,165.20x = 163,834.20 × 42,637.20
  4. Step 4: Simplify right side
    109,165.20x = 6,985,431,552.24
  5. Step 5: Solve for x
    x = 6,985,431,552.24/109,165.20
  6. Step 6: Final answer
    x = 63,989.55

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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.