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Finding the Fourth Proportional to 186,796.98, 257,769.27 and 106,244.10

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Solution

The fourth proportional to 186,796.98, 257,769.27 and 106,244.10 is: 146,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,796.98 : 257,769.27 = 106,244.10 : x
  2. Step 2: Convert to fraction form
    186,796.98/257,769.27 = 106,244.10/x
  3. Step 3: Cross multiply
    186,796.98x = 257,769.27 × 106,244.10
  4. Step 4: Simplify right side
    186,796.98x = 27,386,464,098.81
  5. Step 5: Solve for x
    x = 27,386,464,098.81/186,796.98
  6. Step 6: Final answer
    x = 146,610.85

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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.