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Finding the Fourth Proportional to 186,732.40, 257,666.38 and 106,158.19

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Solution

The fourth proportional to 186,732.40, 257,666.38 and 106,158.19 is: 146,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,732.40 : 257,666.38 = 106,158.19 : x
  2. Step 2: Convert to fraction form
    186,732.40/257,666.38 = 106,158.19/x
  3. Step 3: Cross multiply
    186,732.40x = 257,666.38 × 106,158.19
  4. Step 4: Simplify right side
    186,732.40x = 27,353,396,524.65
  5. Step 5: Solve for x
    x = 27,353,396,524.65/186,732.40
  6. Step 6: Final answer
    x = 146,484.47

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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.