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Finding the Fourth Proportional to 103,612.38, 142,984.85 and 58,290.38

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Solution

The fourth proportional to 103,612.38, 142,984.85 and 58,290.38 is: 80,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612.38 : 142,984.85 = 58,290.38 : x
  2. Step 2: Convert to fraction form
    103,612.38/142,984.85 = 58,290.38/x
  3. Step 3: Cross multiply
    103,612.38x = 142,984.85 × 58,290.38
  4. Step 4: Simplify right side
    103,612.38x = 8,334,640,234.37
  5. Step 5: Solve for x
    x = 8,334,640,234.37/103,612.38
  6. Step 6: Final answer
    x = 80,440.58

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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.