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Finding the Fourth Proportional to 160,676.71, 221,580.90 and 96,135.60

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Solution

The fourth proportional to 160,676.71, 221,580.90 and 96,135.60 is: 132,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,676.71 : 221,580.90 = 96,135.60 : x
  2. Step 2: Convert to fraction form
    160,676.71/221,580.90 = 96,135.60/x
  3. Step 3: Cross multiply
    160,676.71x = 221,580.90 × 96,135.60
  4. Step 4: Simplify right side
    160,676.71x = 21,301,813,600.97
  5. Step 5: Solve for x
    x = 21,301,813,600.97/160,676.71
  6. Step 6: Final answer
    x = 132,575.62

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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.