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Finding the Fourth Proportional to 100,693.10, 151,034.85 and 34,126.70

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Solution

The fourth proportional to 100,693.10, 151,034.85 and 34,126.70 is: 51,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.10 : 151,034.85 = 34,126.70 : x
  2. Step 2: Convert to fraction form
    100,693.10/151,034.85 = 34,126.70/x
  3. Step 3: Cross multiply
    100,693.10x = 151,034.85 × 34,126.70
  4. Step 4: Simplify right side
    100,693.10x = 5,154,321,015.50
  5. Step 5: Solve for x
    x = 5,154,321,015.50/100,693.10
  6. Step 6: Final answer
    x = 51,188.42

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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.