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Finding the Fourth Proportional to 160,976.60, 241,454.10 and 42,645.40

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Solution

The fourth proportional to 160,976.60, 241,454.10 and 42,645.40 is: 63,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,976.60 : 241,454.10 = 42,645.40 : x
  2. Step 2: Convert to fraction form
    160,976.60/241,454.10 = 42,645.40/x
  3. Step 3: Cross multiply
    160,976.60x = 241,454.10 × 42,645.40
  4. Step 4: Simplify right side
    160,976.60x = 10,296,906,676.14
  5. Step 5: Solve for x
    x = 10,296,906,676.14/160,976.60
  6. Step 6: Final answer
    x = 63,965.24

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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.