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Finding the Fourth Proportional to 157,977.90, 218,009.52 and 86,358.24

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Solution

The fourth proportional to 157,977.90, 218,009.52 and 86,358.24 is: 119,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,977.90 : 218,009.52 = 86,358.24 : x
  2. Step 2: Convert to fraction form
    157,977.90/218,009.52 = 86,358.24/x
  3. Step 3: Cross multiply
    157,977.90x = 218,009.52 × 86,358.24
  4. Step 4: Simplify right side
    157,977.90x = 18,826,918,450.44
  5. Step 5: Solve for x
    x = 18,826,918,450.44/157,977.90
  6. Step 6: Final answer
    x = 119,174.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.