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Finding the Fourth Proportional to 242,932.59, 335,232.54 and 140,950.15

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Solution

The fourth proportional to 242,932.59, 335,232.54 and 140,950.15 is: 194,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,932.59 : 335,232.54 = 140,950.15 : x
  2. Step 2: Convert to fraction form
    242,932.59/335,232.54 = 140,950.15/x
  3. Step 3: Cross multiply
    242,932.59x = 335,232.54 × 140,950.15
  4. Step 4: Simplify right side
    242,932.59x = 47,251,075,959.80
  5. Step 5: Solve for x
    x = 47,251,075,959.80/242,932.59
  6. Step 6: Final answer
    x = 194,502.83

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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.