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Finding the Fourth Proportional to 98,003.14, 146,819.24 and 57,902.21

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Solution

The fourth proportional to 98,003.14, 146,819.24 and 57,902.21 is: 86,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,003.14 : 146,819.24 = 57,902.21 : x
  2. Step 2: Convert to fraction form
    98,003.14/146,819.24 = 57,902.21/x
  3. Step 3: Cross multiply
    98,003.14x = 146,819.24 × 57,902.21
  4. Step 4: Simplify right side
    98,003.14x = 8,501,158,177.01
  5. Step 5: Solve for x
    x = 8,501,158,177.01/98,003.14
  6. Step 6: Final answer
    x = 86,743.74

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1.5x scale

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.