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Finding the Fourth Proportional to 186,921.34, 257,948.10 and 106,347.13

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Solution

The fourth proportional to 186,921.34, 257,948.10 and 106,347.13 is: 146,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921.34 : 257,948.10 = 106,347.13 : x
  2. Step 2: Convert to fraction form
    186,921.34/257,948.10 = 106,347.13/x
  3. Step 3: Cross multiply
    186,921.34x = 257,948.10 × 106,347.13
  4. Step 4: Simplify right side
    186,921.34x = 27,432,039,479.08
  5. Step 5: Solve for x
    x = 27,432,039,479.08/186,921.34
  6. Step 6: Final answer
    x = 146,757.13

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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.