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Finding the Fourth Proportional to 224,537.78, 309,854.42 and 133,846.98

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Solution

The fourth proportional to 224,537.78, 309,854.42 and 133,846.98 is: 184,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,537.78 : 309,854.42 = 133,846.98 : x
  2. Step 2: Convert to fraction form
    224,537.78/309,854.42 = 133,846.98/x
  3. Step 3: Cross multiply
    224,537.78x = 309,854.42 × 133,846.98
  4. Step 4: Simplify right side
    224,537.78x = 41,473,078,356.65
  5. Step 5: Solve for x
    x = 41,473,078,356.65/224,537.78
  6. Step 6: Final answer
    x = 184,704.23

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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.