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Finding the Fourth Proportional to 132,953.44, 183,476 and 72,524.16

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Solution

The fourth proportional to 132,953.44, 183,476 and 72,524.16 is: 100,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,953.44 : 183,476 = 72,524.16 : x
  2. Step 2: Convert to fraction form
    132,953.44/183,476 = 72,524.16/x
  3. Step 3: Cross multiply
    132,953.44x = 183,476 × 72,524.16
  4. Step 4: Simplify right side
    132,953.44x = 13,306,442,780.16
  5. Step 5: Solve for x
    x = 13,306,442,780.16/132,953.44
  6. Step 6: Final answer
    x = 100,083.48

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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.