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Finding the Fourth Proportional to 83,203.98, 124,756.10 and 38,168.94

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Solution

The fourth proportional to 83,203.98, 124,756.10 and 38,168.94 is: 57,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203.98 : 124,756.10 = 38,168.94 : x
  2. Step 2: Convert to fraction form
    83,203.98/124,756.10 = 38,168.94/x
  3. Step 3: Cross multiply
    83,203.98x = 124,756.10 × 38,168.94
  4. Step 4: Simplify right side
    83,203.98x = 4,761,808,095.53
  5. Step 5: Solve for x
    x = 4,761,808,095.53/83,203.98
  6. Step 6: Final answer
    x = 57,230.53

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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.