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Finding the Fourth Proportional to 224,323.76, 309,600.36 and 143,842.16

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Solution

The fourth proportional to 224,323.76, 309,600.36 and 143,842.16 is: 198,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,323.76 : 309,600.36 = 143,842.16 : x
  2. Step 2: Convert to fraction form
    224,323.76/309,600.36 = 143,842.16/x
  3. Step 3: Cross multiply
    224,323.76x = 309,600.36 × 143,842.16
  4. Step 4: Simplify right side
    224,323.76x = 44,533,584,519.18
  5. Step 5: Solve for x
    x = 44,533,584,519.18/224,323.76
  6. Step 6: Final answer
    x = 198,523.71

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1.5x scale

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.