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Finding the Fourth Proportional to 101,097.30, 151,743.15 and 51,233.70

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Solution

The fourth proportional to 101,097.30, 151,743.15 and 51,233.70 is: 76,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097.30 : 151,743.15 = 51,233.70 : x
  2. Step 2: Convert to fraction form
    101,097.30/151,743.15 = 51,233.70/x
  3. Step 3: Cross multiply
    101,097.30x = 151,743.15 × 51,233.70
  4. Step 4: Simplify right side
    101,097.30x = 7,774,363,024.16
  5. Step 5: Solve for x
    x = 7,774,363,024.16/101,097.30
  6. Step 6: Final answer
    x = 76,899.81

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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.