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Finding the Fourth Proportional to 102,683.46, 141,644.02 and 61,819.17

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Solution

The fourth proportional to 102,683.46, 141,644.02 and 61,819.17 is: 85,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,683.46 : 141,644.02 = 61,819.17 : x
  2. Step 2: Convert to fraction form
    102,683.46/141,644.02 = 61,819.17/x
  3. Step 3: Cross multiply
    102,683.46x = 141,644.02 × 61,819.17
  4. Step 4: Simplify right side
    102,683.46x = 8,756,315,751.86
  5. Step 5: Solve for x
    x = 8,756,315,751.86/102,683.46
  6. Step 6: Final answer
    x = 85,274.84

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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.