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Finding the Fourth Proportional to 112,532.31, 155,221.38 and 72,182.16

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Solution

The fourth proportional to 112,532.31, 155,221.38 and 72,182.16 is: 99,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,532.31 : 155,221.38 = 72,182.16 : x
  2. Step 2: Convert to fraction form
    112,532.31/155,221.38 = 72,182.16/x
  3. Step 3: Cross multiply
    112,532.31x = 155,221.38 × 72,182.16
  4. Step 4: Simplify right side
    112,532.31x = 11,204,214,486.58
  5. Step 5: Solve for x
    x = 11,204,214,486.58/112,532.31
  6. Step 6: Final answer
    x = 99,564.42

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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.