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Finding the Fourth Proportional to 98,190.92, 147,297.91 and 35,020.02

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Solution

The fourth proportional to 98,190.92, 147,297.91 and 35,020.02 is: 52,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190.92 : 147,297.91 = 35,020.02 : x
  2. Step 2: Convert to fraction form
    98,190.92/147,297.91 = 35,020.02/x
  3. Step 3: Cross multiply
    98,190.92x = 147,297.91 × 35,020.02
  4. Step 4: Simplify right side
    98,190.92x = 5,158,375,666.61
  5. Step 5: Solve for x
    x = 5,158,375,666.61/98,190.92
  6. Step 6: Final answer
    x = 52,534.14

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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.