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Finding the Fourth Proportional to 186,798.98, 257,772.03 and 106,246.10

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Solution

The fourth proportional to 186,798.98, 257,772.03 and 106,246.10 is: 146,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,798.98 : 257,772.03 = 106,246.10 : x
  2. Step 2: Convert to fraction form
    186,798.98/257,772.03 = 106,246.10/x
  3. Step 3: Cross multiply
    186,798.98x = 257,772.03 × 106,246.10
  4. Step 4: Simplify right side
    186,798.98x = 27,387,272,876.58
  5. Step 5: Solve for x
    x = 27,387,272,876.58/186,798.98
  6. Step 6: Final answer
    x = 146,613.61

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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.