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Finding the Fourth Proportional to 224,560.86, 309,820.38 and 160,040.26

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Solution

The fourth proportional to 224,560.86, 309,820.38 and 160,040.26 is: 220,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,560.86 : 309,820.38 = 160,040.26 : x
  2. Step 2: Convert to fraction form
    224,560.86/309,820.38 = 160,040.26/x
  3. Step 3: Cross multiply
    224,560.86x = 309,820.38 × 160,040.26
  4. Step 4: Simplify right side
    224,560.86x = 49,583,734,168.50
  5. Step 5: Solve for x
    x = 49,583,734,168.50/224,560.86
  6. Step 6: Final answer
    x = 220,803.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.