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Finding the Fourth Proportional to 215,230.32, 322,841.76 and 96,818.04

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Solution

The fourth proportional to 215,230.32, 322,841.76 and 96,818.04 is: 145,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,230.32 : 322,841.76 = 96,818.04 : x
  2. Step 2: Convert to fraction form
    215,230.32/322,841.76 = 96,818.04/x
  3. Step 3: Cross multiply
    215,230.32x = 322,841.76 × 96,818.04
  4. Step 4: Simplify right side
    215,230.32x = 31,256,906,433.35
  5. Step 5: Solve for x
    x = 31,256,906,433.35/215,230.32
  6. Step 6: Final answer
    x = 145,225.39

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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.