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Finding the Fourth Proportional to 123,868.14, 185,652.09 and 57,169.50

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Solution

The fourth proportional to 123,868.14, 185,652.09 and 57,169.50 is: 85,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,868.14 : 185,652.09 = 57,169.50 : x
  2. Step 2: Convert to fraction form
    123,868.14/185,652.09 = 57,169.50/x
  3. Step 3: Cross multiply
    123,868.14x = 185,652.09 × 57,169.50
  4. Step 4: Simplify right side
    123,868.14x = 10,613,637,159.26
  5. Step 5: Solve for x
    x = 10,613,637,159.26/123,868.14
  6. Step 6: Final answer
    x = 85,684.96

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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.