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Finding the Fourth Proportional to 186,319.14, 256,550.94 and 140,445.42

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Solution

The fourth proportional to 186,319.14, 256,550.94 and 140,445.42 is: 193,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,319.14 : 256,550.94 = 140,445.42 : x
  2. Step 2: Convert to fraction form
    186,319.14/256,550.94 = 140,445.42/x
  3. Step 3: Cross multiply
    186,319.14x = 256,550.94 × 140,445.42
  4. Step 4: Simplify right side
    186,319.14x = 36,031,404,519.69
  5. Step 5: Solve for x
    x = 36,031,404,519.69/186,319.14
  6. Step 6: Final answer
    x = 193,385.42

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