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Finding the Fourth Proportional to 153,241.80, 229,863.12 and 46,626.78

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Solution

The fourth proportional to 153,241.80, 229,863.12 and 46,626.78 is: 69,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,241.80 : 229,863.12 = 46,626.78 : x
  2. Step 2: Convert to fraction form
    153,241.80/229,863.12 = 46,626.78/x
  3. Step 3: Cross multiply
    153,241.80x = 229,863.12 × 46,626.78
  4. Step 4: Simplify right side
    153,241.80x = 10,717,777,126.35
  5. Step 5: Solve for x
    x = 10,717,777,126.35/153,241.80
  6. Step 6: Final answer
    x = 69,940.30

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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.