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Finding the Fourth Proportional to 107,410.98, 148,229.19 and 59,668.77

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Solution

The fourth proportional to 107,410.98, 148,229.19 and 59,668.77 is: 82,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,410.98 : 148,229.19 = 59,668.77 : x
  2. Step 2: Convert to fraction form
    107,410.98/148,229.19 = 59,668.77/x
  3. Step 3: Cross multiply
    107,410.98x = 148,229.19 × 59,668.77
  4. Step 4: Simplify right side
    107,410.98x = 8,844,653,445.40
  5. Step 5: Solve for x
    x = 8,844,653,445.40/107,410.98
  6. Step 6: Final answer
    x = 82,344.03

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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.