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Finding the Fourth Proportional to 157,358.83, 235,764.85 and 141,940.48

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Solution

The fourth proportional to 157,358.83, 235,764.85 and 141,940.48 is: 212,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,358.83 : 235,764.85 = 141,940.48 : x
  2. Step 2: Convert to fraction form
    157,358.83/235,764.85 = 141,940.48/x
  3. Step 3: Cross multiply
    157,358.83x = 235,764.85 × 141,940.48
  4. Step 4: Simplify right side
    157,358.83x = 33,464,575,976.13
  5. Step 5: Solve for x
    x = 33,464,575,976.13/157,358.83
  6. Step 6: Final answer
    x = 212,664.11

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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.