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Finding the Fourth Proportional to 186,262.32, 257,034.39 and 105,688.17

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Solution

The fourth proportional to 186,262.32, 257,034.39 and 105,688.17 is: 145,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,262.32 : 257,034.39 = 105,688.17 : x
  2. Step 2: Convert to fraction form
    186,262.32/257,034.39 = 105,688.17/x
  3. Step 3: Cross multiply
    186,262.32x = 257,034.39 × 105,688.17
  4. Step 4: Simplify right side
    186,262.32x = 27,165,494,306.17
  5. Step 5: Solve for x
    x = 27,165,494,306.17/186,262.32
  6. Step 6: Final answer
    x = 145,845.36

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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.