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Finding the Fourth Proportional to 266,172.24, 398,807.22 and 160,769.76

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Solution

The fourth proportional to 266,172.24, 398,807.22 and 160,769.76 is: 240,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,172.24 : 398,807.22 = 160,769.76 : x
  2. Step 2: Convert to fraction form
    266,172.24/398,807.22 = 160,769.76/x
  3. Step 3: Cross multiply
    266,172.24x = 398,807.22 × 160,769.76
  4. Step 4: Simplify right side
    266,172.24x = 64,116,141,045.67
  5. Step 5: Solve for x
    x = 64,116,141,045.67/266,172.24
  6. Step 6: Final answer
    x = 240,882.15

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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.