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Finding the Fourth Proportional to 266,629.76, 400,045.76 and 160,088.16

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Solution

The fourth proportional to 266,629.76, 400,045.76 and 160,088.16 is: 240,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,629.76 : 400,045.76 = 160,088.16 : x
  2. Step 2: Convert to fraction form
    266,629.76/400,045.76 = 160,088.16/x
  3. Step 3: Cross multiply
    266,629.76x = 400,045.76 × 160,088.16
  4. Step 4: Simplify right side
    266,629.76x = 64,042,589,634.20
  5. Step 5: Solve for x
    x = 64,042,589,634.20/266,629.76
  6. Step 6: Final answer
    x = 240,192.95

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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.