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Finding the Fourth Proportional to 361,516.60, 542,272.16 and 108,796

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Solution

The fourth proportional to 361,516.60, 542,272.16 and 108,796 is: 163,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,516.60 : 542,272.16 = 108,796 : x
  2. Step 2: Convert to fraction form
    361,516.60/542,272.16 = 108,796/x
  3. Step 3: Cross multiply
    361,516.60x = 542,272.16 × 108,796
  4. Step 4: Simplify right side
    361,516.60x = 58,997,041,919.36
  5. Step 5: Solve for x
    x = 58,997,041,919.36/361,516.60
  6. Step 6: Final answer
    x = 163,193.18

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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.