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Finding the Fourth Proportional to 153,857.66, 230,819.86 and 47,241.98

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Solution

The fourth proportional to 153,857.66, 230,819.86 and 47,241.98 is: 70,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,857.66 : 230,819.86 = 47,241.98 : x
  2. Step 2: Convert to fraction form
    153,857.66/230,819.86 = 47,241.98/x
  3. Step 3: Cross multiply
    153,857.66x = 230,819.86 × 47,241.98
  4. Step 4: Simplify right side
    153,857.66x = 10,904,387,209.72
  5. Step 5: Solve for x
    x = 10,904,387,209.72/153,857.66
  6. Step 6: Final answer
    x = 70,873.22

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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.