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Finding the Fourth Proportional to 282,591.56, 423,886.26 and 72,229.16

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Solution

The fourth proportional to 282,591.56, 423,886.26 and 72,229.16 is: 108,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,591.56 : 423,886.26 = 72,229.16 : x
  2. Step 2: Convert to fraction form
    282,591.56/423,886.26 = 72,229.16/x
  3. Step 3: Cross multiply
    282,591.56x = 423,886.26 × 72,229.16
  4. Step 4: Simplify right side
    282,591.56x = 30,616,948,495.34
  5. Step 5: Solve for x
    x = 30,616,948,495.34/282,591.56
  6. Step 6: Final answer
    x = 108,343.46

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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.