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Finding the Fourth Proportional to 99,538.98, 137,320.20 and 65,503.68

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Solution

The fourth proportional to 99,538.98, 137,320.20 and 65,503.68 is: 90,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538.98 : 137,320.20 = 65,503.68 : x
  2. Step 2: Convert to fraction form
    99,538.98/137,320.20 = 65,503.68/x
  3. Step 3: Cross multiply
    99,538.98x = 137,320.20 × 65,503.68
  4. Step 4: Simplify right side
    99,538.98x = 8,994,978,438.34
  5. Step 5: Solve for x
    x = 8,994,978,438.34/99,538.98
  6. Step 6: Final answer
    x = 90,366.39

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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.