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Finding the Fourth Proportional to 262,154.69, 361,770.03 and 147,433.30

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Solution

The fourth proportional to 262,154.69, 361,770.03 and 147,433.30 is: 203,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,154.69 : 361,770.03 = 147,433.30 : x
  2. Step 2: Convert to fraction form
    262,154.69/361,770.03 = 147,433.30/x
  3. Step 3: Cross multiply
    262,154.69x = 361,770.03 × 147,433.30
  4. Step 4: Simplify right side
    262,154.69x = 53,336,948,459.57
  5. Step 5: Solve for x
    x = 53,336,948,459.57/262,154.69
  6. Step 6: Final answer
    x = 203,456.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.