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Finding the Fourth Proportional to 104,878.38, 144,731.46 and 57,131.76

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Solution

The fourth proportional to 104,878.38, 144,731.46 and 57,131.76 is: 78,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,878.38 : 144,731.46 = 57,131.76 : x
  2. Step 2: Convert to fraction form
    104,878.38/144,731.46 = 57,131.76/x
  3. Step 3: Cross multiply
    104,878.38x = 144,731.46 × 57,131.76
  4. Step 4: Simplify right side
    104,878.38x = 8,268,763,037.17
  5. Step 5: Solve for x
    x = 8,268,763,037.17/104,878.38
  6. Step 6: Final answer
    x = 78,841.45

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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.