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Finding the Fourth Proportional to 160,761.96, 221,897.70 and 97,089

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Solution

The fourth proportional to 160,761.96, 221,897.70 and 97,089 is: 134,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,761.96 : 221,897.70 = 97,089 : x
  2. Step 2: Convert to fraction form
    160,761.96/221,897.70 = 97,089/x
  3. Step 3: Cross multiply
    160,761.96x = 221,897.70 × 97,089
  4. Step 4: Simplify right side
    160,761.96x = 21,543,825,795.30
  5. Step 5: Solve for x
    x = 21,543,825,795.30/160,761.96
  6. Step 6: Final answer
    x = 134,010.72

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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.