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Finding the Fourth Proportional to 186,735.78, 257,691.78 and 101,853.45

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Solution

The fourth proportional to 186,735.78, 257,691.78 and 101,853.45 is: 140,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,735.78 : 257,691.78 = 101,853.45 : x
  2. Step 2: Convert to fraction form
    186,735.78/257,691.78 = 101,853.45/x
  3. Step 3: Cross multiply
    186,735.78x = 257,691.78 × 101,853.45
  4. Step 4: Simplify right side
    186,735.78x = 26,246,796,829.64
  5. Step 5: Solve for x
    x = 26,246,796,829.64/186,735.78
  6. Step 6: Final answer
    x = 140,555.80

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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.