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Finding the Fourth Proportional to 281,085.33, 420,952.38 and 160,777.53

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Solution

The fourth proportional to 281,085.33, 420,952.38 and 160,777.53 is: 240,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,085.33 : 420,952.38 = 160,777.53 : x
  2. Step 2: Convert to fraction form
    281,085.33/420,952.38 = 160,777.53/x
  3. Step 3: Cross multiply
    281,085.33x = 420,952.38 × 160,777.53
  4. Step 4: Simplify right side
    281,085.33x = 67,679,683,904.02
  5. Step 5: Solve for x
    x = 67,679,683,904.02/281,085.33
  6. Step 6: Final answer
    x = 240,779.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.