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Finding the Fourth Proportional to 186,866.78, 257,872.56 and 101,984.46

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Solution

The fourth proportional to 186,866.78, 257,872.56 and 101,984.46 is: 140,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,866.78 : 257,872.56 = 101,984.46 : x
  2. Step 2: Convert to fraction form
    186,866.78/257,872.56 = 101,984.46/x
  3. Step 3: Cross multiply
    186,866.78x = 257,872.56 × 101,984.46
  4. Step 4: Simplify right side
    186,866.78x = 26,298,993,780.42
  5. Step 5: Solve for x
    x = 26,298,993,780.42/186,866.78
  6. Step 6: Final answer
    x = 140,736.59

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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.