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Finding the Fourth Proportional to 224,212.76, 309,238.64 and 143,647.83

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Solution

The fourth proportional to 224,212.76, 309,238.64 and 143,647.83 is: 198,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,212.76 : 309,238.64 = 143,647.83 : x
  2. Step 2: Convert to fraction form
    224,212.76/309,238.64 = 143,647.83/x
  3. Step 3: Cross multiply
    224,212.76x = 309,238.64 × 143,647.83
  4. Step 4: Simplify right side
    224,212.76x = 44,421,458,869.91
  5. Step 5: Solve for x
    x = 44,421,458,869.91/224,212.76
  6. Step 6: Final answer
    x = 198,121.91

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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.