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Finding the Fourth Proportional to 169,868.70, 254,803.05 and 146,540.70

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Solution

The fourth proportional to 169,868.70, 254,803.05 and 146,540.70 is: 219,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,868.70 : 254,803.05 = 146,540.70 : x
  2. Step 2: Convert to fraction form
    169,868.70/254,803.05 = 146,540.70/x
  3. Step 3: Cross multiply
    169,868.70x = 254,803.05 × 146,540.70
  4. Step 4: Simplify right side
    169,868.70x = 37,339,017,309.14
  5. Step 5: Solve for x
    x = 37,339,017,309.14/169,868.70
  6. Step 6: Final answer
    x = 219,811.05

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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.