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Finding the Fourth Proportional to 132,083.68, 182,316 and 75,532.72

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Solution

The fourth proportional to 132,083.68, 182,316 and 75,532.72 is: 104,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,083.68 : 182,316 = 75,532.72 : x
  2. Step 2: Convert to fraction form
    132,083.68/182,316 = 75,532.72/x
  3. Step 3: Cross multiply
    132,083.68x = 182,316 × 75,532.72
  4. Step 4: Simplify right side
    132,083.68x = 13,770,823,379.52
  5. Step 5: Solve for x
    x = 13,770,823,379.52/132,083.68
  6. Step 6: Final answer
    x = 104,258.33

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1.5x scale

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.