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Finding the Fourth Proportional to 281,051.66, 387,841.46 and 160,231.85

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Solution

The fourth proportional to 281,051.66, 387,841.46 and 160,231.85 is: 221,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,051.66 : 387,841.46 = 160,231.85 : x
  2. Step 2: Convert to fraction form
    281,051.66/387,841.46 = 160,231.85/x
  3. Step 3: Cross multiply
    281,051.66x = 387,841.46 × 160,231.85
  4. Step 4: Simplify right side
    281,051.66x = 62,144,551,902.13
  5. Step 5: Solve for x
    x = 62,144,551,902.13/281,051.66
  6. Step 6: Final answer
    x = 221,114.34

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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.