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Finding the Fourth Proportional to 107,396.64, 148,204.52 and 59,648.80

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Solution

The fourth proportional to 107,396.64, 148,204.52 and 59,648.80 is: 82,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,396.64 : 148,204.52 = 59,648.80 : x
  2. Step 2: Convert to fraction form
    107,396.64/148,204.52 = 59,648.80/x
  3. Step 3: Cross multiply
    107,396.64x = 148,204.52 × 59,648.80
  4. Step 4: Simplify right side
    107,396.64x = 8,840,221,772.58
  5. Step 5: Solve for x
    x = 8,840,221,772.58/107,396.64
  6. Step 6: Final answer
    x = 82,313.76

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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.