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Finding the Fourth Proportional to 123,696, 185,298.24 and 61,175.68

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Solution

The fourth proportional to 123,696, 185,298.24 and 61,175.68 is: 91,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,696 : 185,298.24 = 61,175.68 : x
  2. Step 2: Convert to fraction form
    123,696/185,298.24 = 61,175.68/x
  3. Step 3: Cross multiply
    123,696x = 185,298.24 × 61,175.68
  4. Step 4: Simplify right side
    123,696x = 11,335,745,834.80
  5. Step 5: Solve for x
    x = 11,335,745,834.80/123,696
  6. Step 6: Final answer
    x = 91,641.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.