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Finding the Fourth Proportional to 160,662.38, 221,714.08 and 89,053.16

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Solution

The fourth proportional to 160,662.38, 221,714.08 and 89,053.16 is: 122,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,662.38 : 221,714.08 = 89,053.16 : x
  2. Step 2: Convert to fraction form
    160,662.38/221,714.08 = 89,053.16/x
  3. Step 3: Cross multiply
    160,662.38x = 221,714.08 × 89,053.16
  4. Step 4: Simplify right side
    160,662.38x = 19,744,339,440.49
  5. Step 5: Solve for x
    x = 19,744,339,440.49/160,662.38
  6. Step 6: Final answer
    x = 122,893.36

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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.