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Finding the Fourth Proportional to 281,142.14, 387,985.84 and 153,817.73

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Solution

The fourth proportional to 281,142.14, 387,985.84 and 153,817.73 is: 212,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,142.14 : 387,985.84 = 153,817.73 : x
  2. Step 2: Convert to fraction form
    281,142.14/387,985.84 = 153,817.73/x
  3. Step 3: Cross multiply
    281,142.14x = 387,985.84 × 153,817.73
  4. Step 4: Simplify right side
    281,142.14x = 59,679,101,180.94
  5. Step 5: Solve for x
    x = 59,679,101,180.94/281,142.14
  6. Step 6: Final answer
    x = 212,273.77

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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.