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Finding the Fourth Proportional to 132,275.40, 182,549.16 and 74,914

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Solution

The fourth proportional to 132,275.40, 182,549.16 and 74,914 is: 103,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,275.40 : 182,549.16 = 74,914 : x
  2. Step 2: Convert to fraction form
    132,275.40/182,549.16 = 74,914/x
  3. Step 3: Cross multiply
    132,275.40x = 182,549.16 × 74,914
  4. Step 4: Simplify right side
    132,275.40x = 13,675,487,772.24
  5. Step 5: Solve for x
    x = 13,675,487,772.24/132,275.40
  6. Step 6: Final answer
    x = 103,386.48

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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.