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Finding the Fourth Proportional to 157,796.60, 236,234.10 and 141,207.80

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Solution

The fourth proportional to 157,796.60, 236,234.10 and 141,207.80 is: 211,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,796.60 : 236,234.10 = 141,207.80 : x
  2. Step 2: Convert to fraction form
    157,796.60/236,234.10 = 141,207.80/x
  3. Step 3: Cross multiply
    157,796.60x = 236,234.10 × 141,207.80
  4. Step 4: Simplify right side
    157,796.60x = 33,358,097,545.98
  5. Step 5: Solve for x
    x = 33,358,097,545.98/157,796.60
  6. Step 6: Final answer
    x = 211,399.34

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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.