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Finding the Fourth Proportional to 107,536.80, 148,396.52 and 59,786.64

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Solution

The fourth proportional to 107,536.80, 148,396.52 and 59,786.64 is: 82,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536.80 : 148,396.52 = 59,786.64 : x
  2. Step 2: Convert to fraction form
    107,536.80/148,396.52 = 59,786.64/x
  3. Step 3: Cross multiply
    107,536.80x = 148,396.52 × 59,786.64
  4. Step 4: Simplify right side
    107,536.80x = 8,872,129,318.49
  5. Step 5: Solve for x
    x = 8,872,129,318.49/107,536.80
  6. Step 6: Final answer
    x = 82,503.19

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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.