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Finding the Fourth Proportional to 251,853.38, 377,689.32 and 83,342.60

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Solution

The fourth proportional to 251,853.38, 377,689.32 and 83,342.60 is: 124,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,853.38 : 377,689.32 = 83,342.60 : x
  2. Step 2: Convert to fraction form
    251,853.38/377,689.32 = 83,342.60/x
  3. Step 3: Cross multiply
    251,853.38x = 377,689.32 × 83,342.60
  4. Step 4: Simplify right side
    251,853.38x = 31,477,609,921.03
  5. Step 5: Solve for x
    x = 31,477,609,921.03/251,853.38
  6. Step 6: Final answer
    x = 124,983.87

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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.