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Finding the Fourth Proportional to 83,706.60, 125,401.56 and 64,894.54

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Solution

The fourth proportional to 83,706.60, 125,401.56 and 64,894.54 is: 97,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.60 : 125,401.56 = 64,894.54 : x
  2. Step 2: Convert to fraction form
    83,706.60/125,401.56 = 64,894.54/x
  3. Step 3: Cross multiply
    83,706.60x = 125,401.56 × 64,894.54
  4. Step 4: Simplify right side
    83,706.60x = 8,137,876,551.48
  5. Step 5: Solve for x
    x = 8,137,876,551.48/83,706.60
  6. Step 6: Final answer
    x = 97,219.06

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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.