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Finding the Fourth Proportional to 186,317.14, 256,548.18 and 140,443.42

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Solution

The fourth proportional to 186,317.14, 256,548.18 and 140,443.42 is: 193,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,317.14 : 256,548.18 = 140,443.42 : x
  2. Step 2: Convert to fraction form
    186,317.14/256,548.18 = 140,443.42/x
  3. Step 3: Cross multiply
    186,317.14x = 256,548.18 × 140,443.42
  4. Step 4: Simplify right side
    186,317.14x = 36,030,503,793.98
  5. Step 5: Solve for x
    x = 36,030,503,793.98/186,317.14
  6. Step 6: Final answer
    x = 193,382.66

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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.