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Finding the Fourth Proportional to 164,792, 247,100.52 and 75,999.80

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Solution

The fourth proportional to 164,792, 247,100.52 and 75,999.80 is: 113,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,792 : 247,100.52 = 75,999.80 : x
  2. Step 2: Convert to fraction form
    164,792/247,100.52 = 75,999.80/x
  3. Step 3: Cross multiply
    164,792x = 247,100.52 × 75,999.80
  4. Step 4: Simplify right side
    164,792x = 18,779,590,099.90
  5. Step 5: Solve for x
    x = 18,779,590,099.90/164,792
  6. Step 6: Final answer
    x = 113,959.36

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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.