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Finding the Fourth Proportional to 107,161.94, 147,876.24 and 61,841.80

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Solution

The fourth proportional to 107,161.94, 147,876.24 and 61,841.80 is: 85,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,161.94 : 147,876.24 = 61,841.80 : x
  2. Step 2: Convert to fraction form
    107,161.94/147,876.24 = 61,841.80/x
  3. Step 3: Cross multiply
    107,161.94x = 147,876.24 × 61,841.80
  4. Step 4: Simplify right side
    107,161.94x = 9,144,932,858.83
  5. Step 5: Solve for x
    x = 9,144,932,858.83/107,161.94
  6. Step 6: Final answer
    x = 85,337.51

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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.