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Finding the Fourth Proportional to 160,714.89, 221,771.61 and 89,088.84

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Solution

The fourth proportional to 160,714.89, 221,771.61 and 89,088.84 is: 122,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,714.89 : 221,771.61 = 89,088.84 : x
  2. Step 2: Convert to fraction form
    160,714.89/221,771.61 = 89,088.84/x
  3. Step 3: Cross multiply
    160,714.89x = 221,771.61 × 89,088.84
  4. Step 4: Simplify right side
    160,714.89x = 19,757,375,479.83
  5. Step 5: Solve for x
    x = 19,757,375,479.83/160,714.89
  6. Step 6: Final answer
    x = 122,934.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.