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Finding the Fourth Proportional to 186,713.58, 257,663.56 and 106,141.10

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Solution

The fourth proportional to 186,713.58, 257,663.56 and 106,141.10 is: 146,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,713.58 : 257,663.56 = 106,141.10 : x
  2. Step 2: Convert to fraction form
    186,713.58/257,663.56 = 106,141.10/x
  3. Step 3: Cross multiply
    186,713.58x = 257,663.56 × 106,141.10
  4. Step 4: Simplify right side
    186,713.58x = 27,348,694,351.23
  5. Step 5: Solve for x
    x = 27,348,694,351.23/186,713.58
  6. Step 6: Final answer
    x = 146,474.05

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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.