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Finding the Fourth Proportional to 105,251.32, 145,239.24 and 57,494.53

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Solution

The fourth proportional to 105,251.32, 145,239.24 and 57,494.53 is: 79,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,251.32 : 145,239.24 = 57,494.53 : x
  2. Step 2: Convert to fraction form
    105,251.32/145,239.24 = 57,494.53/x
  3. Step 3: Cross multiply
    105,251.32x = 145,239.24 × 57,494.53
  4. Step 4: Simplify right side
    105,251.32x = 8,350,461,841.36
  5. Step 5: Solve for x
    x = 8,350,461,841.36/105,251.32
  6. Step 6: Final answer
    x = 79,338.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.