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Finding the Fourth Proportional to 113,823.80, 170,876.10 and 71,703.80

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Solution

The fourth proportional to 113,823.80, 170,876.10 and 71,703.80 is: 107,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,823.80 : 170,876.10 = 71,703.80 : x
  2. Step 2: Convert to fraction form
    113,823.80/170,876.10 = 71,703.80/x
  3. Step 3: Cross multiply
    113,823.80x = 170,876.10 × 71,703.80
  4. Step 4: Simplify right side
    113,823.80x = 12,252,465,699.18
  5. Step 5: Solve for x
    x = 12,252,465,699.18/113,823.80
  6. Step 6: Final answer
    x = 107,644.15

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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.