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Finding the Fourth Proportional to 169,813.40, 254,720.10 and 146,193.80

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Solution

The fourth proportional to 169,813.40, 254,720.10 and 146,193.80 is: 219,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,813.40 : 254,720.10 = 146,193.80 : x
  2. Step 2: Convert to fraction form
    169,813.40/254,720.10 = 146,193.80/x
  3. Step 3: Cross multiply
    169,813.40x = 254,720.10 × 146,193.80
  4. Step 4: Simplify right side
    169,813.40x = 37,238,499,355.38
  5. Step 5: Solve for x
    x = 37,238,499,355.38/169,813.40
  6. Step 6: Final answer
    x = 219,290.70

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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.