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Finding the Fourth Proportional to 186,598.32, 257,512.68 and 106,039.56

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Solution

The fourth proportional to 186,598.32, 257,512.68 and 106,039.56 is: 146,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,598.32 : 257,512.68 = 106,039.56 : x
  2. Step 2: Convert to fraction form
    186,598.32/257,512.68 = 106,039.56/x
  3. Step 3: Cross multiply
    186,598.32x = 257,512.68 × 106,039.56
  4. Step 4: Simplify right side
    186,598.32x = 27,306,531,281.62
  5. Step 5: Solve for x
    x = 27,306,531,281.62/186,598.32
  6. Step 6: Final answer
    x = 146,338.57

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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.