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Finding the Fourth Proportional to 158,113.88, 218,162.16 and 96,873

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Solution

The fourth proportional to 158,113.88, 218,162.16 and 96,873 is: 133,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,113.88 : 218,162.16 = 96,873 : x
  2. Step 2: Convert to fraction form
    158,113.88/218,162.16 = 96,873/x
  3. Step 3: Cross multiply
    158,113.88x = 218,162.16 × 96,873
  4. Step 4: Simplify right side
    158,113.88x = 21,134,022,925.68
  5. Step 5: Solve for x
    x = 21,134,022,925.68/158,113.88
  6. Step 6: Final answer
    x = 133,663.30

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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.