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Finding the Fourth Proportional to 102,738, 141,778.44 and 58,026

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Solution

The fourth proportional to 102,738, 141,778.44 and 58,026 is: 80,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738 : 141,778.44 = 58,026 : x
  2. Step 2: Convert to fraction form
    102,738/141,778.44 = 58,026/x
  3. Step 3: Cross multiply
    102,738x = 141,778.44 × 58,026
  4. Step 4: Simplify right side
    102,738x = 8,226,835,759.44
  5. Step 5: Solve for x
    x = 8,226,835,759.44/102,738
  6. Step 6: Final answer
    x = 80,075.88

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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.