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Finding the Fourth Proportional to 186,709.52, 257,656.54 and 101,826.56

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Solution

The fourth proportional to 186,709.52, 257,656.54 and 101,826.56 is: 140,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,709.52 : 257,656.54 = 101,826.56 : x
  2. Step 2: Convert to fraction form
    186,709.52/257,656.54 = 101,826.56/x
  3. Step 3: Cross multiply
    186,709.52x = 257,656.54 × 101,826.56
  4. Step 4: Simplify right side
    186,709.52x = 26,236,279,129.70
  5. Step 5: Solve for x
    x = 26,236,279,129.70/186,709.52
  6. Step 6: Final answer
    x = 140,519.24

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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.