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Finding the Fourth Proportional to 112,874.78, 155,768.06 and 77,063.87

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Solution

The fourth proportional to 112,874.78, 155,768.06 and 77,063.87 is: 106,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,874.78 : 155,768.06 = 77,063.87 : x
  2. Step 2: Convert to fraction form
    112,874.78/155,768.06 = 77,063.87/x
  3. Step 3: Cross multiply
    112,874.78x = 155,768.06 × 77,063.87
  4. Step 4: Simplify right side
    112,874.78x = 12,004,090,108.07
  5. Step 5: Solve for x
    x = 12,004,090,108.07/112,874.78
  6. Step 6: Final answer
    x = 106,348.73

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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.