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Finding the Fourth Proportional to 203,062, 280,186.68 and 131,432.08

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Solution

The fourth proportional to 203,062, 280,186.68 and 131,432.08 is: 181,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,062 : 280,186.68 = 131,432.08 : x
  2. Step 2: Convert to fraction form
    203,062/280,186.68 = 131,432.08/x
  3. Step 3: Cross multiply
    203,062x = 280,186.68 × 131,432.08
  4. Step 4: Simplify right side
    203,062x = 36,825,518,140.69
  5. Step 5: Solve for x
    x = 36,825,518,140.69/203,062
  6. Step 6: Final answer
    x = 181,351.11

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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.