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Finding the Fourth Proportional to 160,634, 221,676.24 and 89,015.22

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Solution

The fourth proportional to 160,634, 221,676.24 and 89,015.22 is: 122,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,634 : 221,676.24 = 89,015.22 : x
  2. Step 2: Convert to fraction form
    160,634/221,676.24 = 89,015.22/x
  3. Step 3: Cross multiply
    160,634x = 221,676.24 × 89,015.22
  4. Step 4: Simplify right side
    160,634x = 19,732,559,272.37
  5. Step 5: Solve for x
    x = 19,732,559,272.37/160,634
  6. Step 6: Final answer
    x = 122,841.74

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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.