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Finding the Fourth Proportional to 267,233.04, 400,953.24 and 101,034

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Solution

The fourth proportional to 267,233.04, 400,953.24 and 101,034 is: 151,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,233.04 : 400,953.24 = 101,034 : x
  2. Step 2: Convert to fraction form
    267,233.04/400,953.24 = 101,034/x
  3. Step 3: Cross multiply
    267,233.04x = 400,953.24 × 101,034
  4. Step 4: Simplify right side
    267,233.04x = 40,509,909,650.16
  5. Step 5: Solve for x
    x = 40,509,909,650.16/267,233.04
  6. Step 6: Final answer
    x = 151,590.20

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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.