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Finding the Fourth Proportional to 224,222.94, 309,252.70 and 143,658.01

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Solution

The fourth proportional to 224,222.94, 309,252.70 and 143,658.01 is: 198,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,222.94 : 309,252.70 = 143,658.01 : x
  2. Step 2: Convert to fraction form
    224,222.94/309,252.70 = 143,658.01/x
  3. Step 3: Cross multiply
    224,222.94x = 309,252.70 × 143,658.01
  4. Step 4: Simplify right side
    224,222.94x = 44,426,627,469.13
  5. Step 5: Solve for x
    x = 44,426,627,469.13/224,222.94
  6. Step 6: Final answer
    x = 198,135.96

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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.