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Finding the Fourth Proportional to 180,645.56, 270,868.80 and 62,219.24

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Solution

The fourth proportional to 180,645.56, 270,868.80 and 62,219.24 is: 93,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,645.56 : 270,868.80 = 62,219.24 : x
  2. Step 2: Convert to fraction form
    180,645.56/270,868.80 = 62,219.24/x
  3. Step 3: Cross multiply
    180,645.56x = 270,868.80 × 62,219.24
  4. Step 4: Simplify right side
    180,645.56x = 16,853,250,875.71
  5. Step 5: Solve for x
    x = 16,853,250,875.71/180,645.56
  6. Step 6: Final answer
    x = 93,294.58

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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.