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Finding the Fourth Proportional to 103,297.38, 142,555.05 and 80,902.50

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Solution

The fourth proportional to 103,297.38, 142,555.05 and 80,902.50 is: 111,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,297.38 : 142,555.05 = 80,902.50 : x
  2. Step 2: Convert to fraction form
    103,297.38/142,555.05 = 80,902.50/x
  3. Step 3: Cross multiply
    103,297.38x = 142,555.05 × 80,902.50
  4. Step 4: Simplify right side
    103,297.38x = 11,533,059,932.63
  5. Step 5: Solve for x
    x = 11,533,059,932.63/103,297.38
  6. Step 6: Final answer
    x = 111,649.10

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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.