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Finding the Fourth Proportional to 186,532.16, 257,304 and 132,022.88

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Solution

The fourth proportional to 186,532.16, 257,304 and 132,022.88 is: 182,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,532.16 : 257,304 = 132,022.88 : x
  2. Step 2: Convert to fraction form
    186,532.16/257,304 = 132,022.88/x
  3. Step 3: Cross multiply
    186,532.16x = 257,304 × 132,022.88
  4. Step 4: Simplify right side
    186,532.16x = 33,970,015,115.52
  5. Step 5: Solve for x
    x = 33,970,015,115.52/186,532.16
  6. Step 6: Final answer
    x = 182,113.45

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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.