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Finding the Fourth Proportional to 160,634.42, 221,676.80 and 89,015.63

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Solution

The fourth proportional to 160,634.42, 221,676.80 and 89,015.63 is: 122,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,634.42 : 221,676.80 = 89,015.63 : x
  2. Step 2: Convert to fraction form
    160,634.42/221,676.80 = 89,015.63/x
  3. Step 3: Cross multiply
    160,634.42x = 221,676.80 × 89,015.63
  4. Step 4: Simplify right side
    160,634.42x = 19,732,700,008.38
  5. Step 5: Solve for x
    x = 19,732,700,008.38/160,634.42
  6. Step 6: Final answer
    x = 122,842.29

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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.