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Finding the Fourth Proportional to 278,085.06, 383,742.36 and 157,219.25

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Solution

The fourth proportional to 278,085.06, 383,742.36 and 157,219.25 is: 216,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,085.06 : 383,742.36 = 157,219.25 : x
  2. Step 2: Convert to fraction form
    278,085.06/383,742.36 = 157,219.25/x
  3. Step 3: Cross multiply
    278,085.06x = 383,742.36 × 157,219.25
  4. Step 4: Simplify right side
    278,085.06x = 60,331,684,113.72
  5. Step 5: Solve for x
    x = 60,331,684,113.72/278,085.06
  6. Step 6: Final answer
    x = 216,954.06

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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.