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Finding the Fourth Proportional to 186,775.49, 257,754.27 and 101,892.48

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Solution

The fourth proportional to 186,775.49, 257,754.27 and 101,892.48 is: 140,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,775.49 : 257,754.27 = 101,892.48 : x
  2. Step 2: Convert to fraction form
    186,775.49/257,754.27 = 101,892.48/x
  3. Step 3: Cross multiply
    186,775.49x = 257,754.27 × 101,892.48
  4. Step 4: Simplify right side
    186,775.49x = 26,263,221,800.89
  5. Step 5: Solve for x
    x = 26,263,221,800.89/186,775.49
  6. Step 6: Final answer
    x = 140,613.86

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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.