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Finding the Fourth Proportional to 186,531.76, 279,693.96 and 75,594.16

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Solution

The fourth proportional to 186,531.76, 279,693.96 and 75,594.16 is: 113,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,531.76 : 279,693.96 = 75,594.16 : x
  2. Step 2: Convert to fraction form
    186,531.76/279,693.96 = 75,594.16/x
  3. Step 3: Cross multiply
    186,531.76x = 279,693.96 × 75,594.16
  4. Step 4: Simplify right side
    186,531.76x = 21,143,229,963.27
  5. Step 5: Solve for x
    x = 21,143,229,963.27/186,531.76
  6. Step 6: Final answer
    x = 113,349.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.