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Finding the Fourth Proportional to 224,780.88, 309,908.16 and 160,323.60

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Solution

The fourth proportional to 224,780.88, 309,908.16 and 160,323.60 is: 221,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,780.88 : 309,908.16 = 160,323.60 : x
  2. Step 2: Convert to fraction form
    224,780.88/309,908.16 = 160,323.60/x
  3. Step 3: Cross multiply
    224,780.88x = 309,908.16 × 160,323.60
  4. Step 4: Simplify right side
    224,780.88x = 49,685,591,880.58
  5. Step 5: Solve for x
    x = 49,685,591,880.58/224,780.88
  6. Step 6: Final answer
    x = 221,040.12

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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.