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Finding the Fourth Proportional to 186,378.89, 257,213.67 and 140,356.13

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Solution

The fourth proportional to 186,378.89, 257,213.67 and 140,356.13 is: 193,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,378.89 : 257,213.67 = 140,356.13 : x
  2. Step 2: Convert to fraction form
    186,378.89/257,213.67 = 140,356.13/x
  3. Step 3: Cross multiply
    186,378.89x = 257,213.67 × 140,356.13
  4. Step 4: Simplify right side
    186,378.89x = 36,101,515,947.33
  5. Step 5: Solve for x
    x = 36,101,515,947.33/186,378.89
  6. Step 6: Final answer
    x = 193,699.60

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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.