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Finding the Fourth Proportional to 272,000.98, 408,070.68 and 159,776.11

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Solution

The fourth proportional to 272,000.98, 408,070.68 and 159,776.11 is: 239,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,000.98 : 408,070.68 = 159,776.11 : x
  2. Step 2: Convert to fraction form
    272,000.98/408,070.68 = 159,776.11/x
  3. Step 3: Cross multiply
    272,000.98x = 408,070.68 × 159,776.11
  4. Step 4: Simplify right side
    272,000.98x = 65,199,945,855.45
  5. Step 5: Solve for x
    x = 65,199,945,855.45/272,000.98
  6. Step 6: Final answer
    x = 239,704.82

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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.