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Finding the Fourth Proportional to 164,791, 247,099.02 and 75,998.80

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Solution

The fourth proportional to 164,791, 247,099.02 and 75,998.80 is: 113,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,791 : 247,099.02 = 75,998.80 : x
  2. Step 2: Convert to fraction form
    164,791/247,099.02 = 75,998.80/x
  3. Step 3: Cross multiply
    164,791x = 247,099.02 × 75,998.80
  4. Step 4: Simplify right side
    164,791x = 18,779,229,001.18
  5. Step 5: Solve for x
    x = 18,779,229,001.18/164,791
  6. Step 6: Final answer
    x = 113,957.86

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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.