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Finding the Fourth Proportional to 157,794.60, 236,231.10 and 141,205.80

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Solution

The fourth proportional to 157,794.60, 236,231.10 and 141,205.80 is: 211,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,794.60 : 236,231.10 = 141,205.80 : x
  2. Step 2: Convert to fraction form
    157,794.60/236,231.10 = 141,205.80/x
  3. Step 3: Cross multiply
    157,794.60x = 236,231.10 × 141,205.80
  4. Step 4: Simplify right side
    157,794.60x = 33,357,201,460.38
  5. Step 5: Solve for x
    x = 33,357,201,460.38/157,794.60
  6. Step 6: Final answer
    x = 211,396.34

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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.