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Finding the Fourth Proportional to 99,416, 137,194.08 and 54,704

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Solution

The fourth proportional to 99,416, 137,194.08 and 54,704 is: 75,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,416 : 137,194.08 = 54,704 : x
  2. Step 2: Convert to fraction form
    99,416/137,194.08 = 54,704/x
  3. Step 3: Cross multiply
    99,416x = 137,194.08 × 54,704
  4. Step 4: Simplify right side
    99,416x = 7,505,064,952.32
  5. Step 5: Solve for x
    x = 7,505,064,952.32/99,416
  6. Step 6: Final answer
    x = 75,491.52

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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.