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Finding the Fourth Proportional to 161,147.60, 241,721.40 and 102,244.40

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Solution

The fourth proportional to 161,147.60, 241,721.40 and 102,244.40 is: 153,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,147.60 : 241,721.40 = 102,244.40 : x
  2. Step 2: Convert to fraction form
    161,147.60/241,721.40 = 102,244.40/x
  3. Step 3: Cross multiply
    161,147.60x = 241,721.40 × 102,244.40
  4. Step 4: Simplify right side
    161,147.60x = 24,714,659,510.16
  5. Step 5: Solve for x
    x = 24,714,659,510.16/161,147.60
  6. Step 6: Final answer
    x = 153,366.60

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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.