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Finding the Fourth Proportional to 133,034.90, 199,617.15 and 101,434.10

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Solution

The fourth proportional to 133,034.90, 199,617.15 and 101,434.10 is: 152,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034.90 : 199,617.15 = 101,434.10 : x
  2. Step 2: Convert to fraction form
    133,034.90/199,617.15 = 101,434.10/x
  3. Step 3: Cross multiply
    133,034.90x = 199,617.15 × 101,434.10
  4. Step 4: Simplify right side
    133,034.90x = 20,247,985,954.82
  5. Step 5: Solve for x
    x = 20,247,985,954.82/133,034.90
  6. Step 6: Final answer
    x = 152,200.56

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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.