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Finding the Fourth Proportional to 123,916.74, 185,874.76 and 35,170.33

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Solution

The fourth proportional to 123,916.74, 185,874.76 and 35,170.33 is: 52,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,916.74 : 185,874.76 = 35,170.33 : x
  2. Step 2: Convert to fraction form
    123,916.74/185,874.76 = 35,170.33/x
  3. Step 3: Cross multiply
    123,916.74x = 185,874.76 × 35,170.33
  4. Step 4: Simplify right side
    123,916.74x = 6,537,276,647.87
  5. Step 5: Solve for x
    x = 6,537,276,647.87/123,916.74
  6. Step 6: Final answer
    x = 52,755.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.