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Finding the Fourth Proportional to 169,983.80, 254,866.26 and 146,298.56

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Solution

The fourth proportional to 169,983.80, 254,866.26 and 146,298.56 is: 219,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,983.80 : 254,866.26 = 146,298.56 : x
  2. Step 2: Convert to fraction form
    169,983.80/254,866.26 = 146,298.56/x
  3. Step 3: Cross multiply
    169,983.80x = 254,866.26 × 146,298.56
  4. Step 4: Simplify right side
    169,983.80x = 37,286,566,830.59
  5. Step 5: Solve for x
    x = 37,286,566,830.59/169,983.80
  6. Step 6: Final answer
    x = 219,353.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.