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Finding the Fourth Proportional to 158,594.24, 218,866.37 and 86,976.87

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Solution

The fourth proportional to 158,594.24, 218,866.37 and 86,976.87 is: 120,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,594.24 : 218,866.37 = 86,976.87 : x
  2. Step 2: Convert to fraction form
    158,594.24/218,866.37 = 86,976.87/x
  3. Step 3: Cross multiply
    158,594.24x = 218,866.37 × 86,976.87
  4. Step 4: Simplify right side
    158,594.24x = 19,036,311,810.86
  5. Step 5: Solve for x
    x = 19,036,311,810.86/158,594.24
  6. Step 6: Final answer
    x = 120,031.55

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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.