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Finding the Fourth Proportional to 161,470.40, 241,984.16 and 102,200.27

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Solution

The fourth proportional to 161,470.40, 241,984.16 and 102,200.27 is: 153,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,470.40 : 241,984.16 = 102,200.27 : x
  2. Step 2: Convert to fraction form
    161,470.40/241,984.16 = 102,200.27/x
  3. Step 3: Cross multiply
    161,470.40x = 241,984.16 × 102,200.27
  4. Step 4: Simplify right side
    161,470.40x = 24,730,846,487.72
  5. Step 5: Solve for x
    x = 24,730,846,487.72/161,470.40
  6. Step 6: Final answer
    x = 153,160.25

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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.