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Finding the Fourth Proportional to 132,549, 182,917.62 and 72,933

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Solution

The fourth proportional to 132,549, 182,917.62 and 72,933 is: 100,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,549 : 182,917.62 = 72,933 : x
  2. Step 2: Convert to fraction form
    132,549/182,917.62 = 72,933/x
  3. Step 3: Cross multiply
    132,549x = 182,917.62 × 72,933
  4. Step 4: Simplify right side
    132,549x = 13,340,730,779.46
  5. Step 5: Solve for x
    x = 13,340,730,779.46/132,549
  6. Step 6: Final answer
    x = 100,647.54

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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.