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Finding the Fourth Proportional to 160,662.68, 221,714.52 and 89,047.32

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Solution

The fourth proportional to 160,662.68, 221,714.52 and 89,047.32 is: 122,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,662.68 : 221,714.52 = 89,047.32 : x
  2. Step 2: Convert to fraction form
    160,662.68/221,714.52 = 89,047.32/x
  3. Step 3: Cross multiply
    160,662.68x = 221,714.52 × 89,047.32
  4. Step 4: Simplify right side
    160,662.68x = 19,743,083,811.09
  5. Step 5: Solve for x
    x = 19,743,083,811.09/160,662.68
  6. Step 6: Final answer
    x = 122,885.32

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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.