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Finding the Fourth Proportional to 263,605.76, 363,780.96 and 144,373.76

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Solution

The fourth proportional to 263,605.76, 363,780.96 and 144,373.76 is: 199,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,605.76 : 363,780.96 = 144,373.76 : x
  2. Step 2: Convert to fraction form
    263,605.76/363,780.96 = 144,373.76/x
  3. Step 3: Cross multiply
    263,605.76x = 363,780.96 × 144,373.76
  4. Step 4: Simplify right side
    263,605.76x = 52,520,425,011.61
  5. Step 5: Solve for x
    x = 52,520,425,011.61/263,605.76
  6. Step 6: Final answer
    x = 199,238.53

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1.5x scale

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.