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Finding the Fourth Proportional to 158,873.92, 219,099.70 and 107,962.96

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Solution

The fourth proportional to 158,873.92, 219,099.70 and 107,962.96 is: 148,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,873.92 : 219,099.70 = 107,962.96 : x
  2. Step 2: Convert to fraction form
    158,873.92/219,099.70 = 107,962.96/x
  3. Step 3: Cross multiply
    158,873.92x = 219,099.70 × 107,962.96
  4. Step 4: Simplify right side
    158,873.92x = 23,654,652,147.11
  5. Step 5: Solve for x
    x = 23,654,652,147.11/158,873.92
  6. Step 6: Final answer
    x = 148,889.46

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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.