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Finding the Fourth Proportional to 132,404.64, 182,698.14 and 75,040.68

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Solution

The fourth proportional to 132,404.64, 182,698.14 and 75,040.68 is: 103,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,404.64 : 182,698.14 = 75,040.68 : x
  2. Step 2: Convert to fraction form
    132,404.64/182,698.14 = 75,040.68/x
  3. Step 3: Cross multiply
    132,404.64x = 182,698.14 × 75,040.68
  4. Step 4: Simplify right side
    132,404.64x = 13,709,792,660.34
  5. Step 5: Solve for x
    x = 13,709,792,660.34/132,404.64
  6. Step 6: Final answer
    x = 103,544.65

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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.