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Finding the Fourth Proportional to 332,827.80, 499,241.70 and 96,178.20

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Solution

The fourth proportional to 332,827.80, 499,241.70 and 96,178.20 is: 144,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,827.80 : 499,241.70 = 96,178.20 : x
  2. Step 2: Convert to fraction form
    332,827.80/499,241.70 = 96,178.20/x
  3. Step 3: Cross multiply
    332,827.80x = 499,241.70 × 96,178.20
  4. Step 4: Simplify right side
    332,827.80x = 48,016,168,070.94
  5. Step 5: Solve for x
    x = 48,016,168,070.94/332,827.80
  6. Step 6: Final answer
    x = 144,267.30

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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.