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Finding the Fourth Proportional to 252,150.66, 378,284.19 and 83,658.42

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Solution

The fourth proportional to 252,150.66, 378,284.19 and 83,658.42 is: 125,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,150.66 : 378,284.19 = 83,658.42 : x
  2. Step 2: Convert to fraction form
    252,150.66/378,284.19 = 83,658.42/x
  3. Step 3: Cross multiply
    252,150.66x = 378,284.19 × 83,658.42
  4. Step 4: Simplify right side
    252,150.66x = 31,646,657,646.38
  5. Step 5: Solve for x
    x = 31,646,657,646.38/252,150.66
  6. Step 6: Final answer
    x = 125,506.94

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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.