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Finding the Fourth Proportional to 160,564.80, 240,847.20 and 150,723.30

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Solution

The fourth proportional to 160,564.80, 240,847.20 and 150,723.30 is: 226,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564.80 : 240,847.20 = 150,723.30 : x
  2. Step 2: Convert to fraction form
    160,564.80/240,847.20 = 150,723.30/x
  3. Step 3: Cross multiply
    160,564.80x = 240,847.20 × 150,723.30
  4. Step 4: Simplify right side
    160,564.80x = 36,301,284,779.76
  5. Step 5: Solve for x
    x = 36,301,284,779.76/160,564.80
  6. Step 6: Final answer
    x = 226,084.95

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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.