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Finding the Fourth Proportional to 186,877.26, 257,889.42 and 106,304.94

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Solution

The fourth proportional to 186,877.26, 257,889.42 and 106,304.94 is: 146,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,877.26 : 257,889.42 = 106,304.94 : x
  2. Step 2: Convert to fraction form
    186,877.26/257,889.42 = 106,304.94/x
  3. Step 3: Cross multiply
    186,877.26x = 257,889.42 × 106,304.94
  4. Step 4: Simplify right side
    186,877.26x = 27,414,919,319.73
  5. Step 5: Solve for x
    x = 27,414,919,319.73/186,877.26
  6. Step 6: Final answer
    x = 146,700.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.