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Finding the Fourth Proportional to 224,043.69, 309,153.07 and 127,212.24

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Solution

The fourth proportional to 224,043.69, 309,153.07 and 127,212.24 is: 175,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,043.69 : 309,153.07 = 127,212.24 : x
  2. Step 2: Convert to fraction form
    224,043.69/309,153.07 = 127,212.24/x
  3. Step 3: Cross multiply
    224,043.69x = 309,153.07 × 127,212.24
  4. Step 4: Simplify right side
    224,043.69x = 39,328,054,537.58
  5. Step 5: Solve for x
    x = 39,328,054,537.58/224,043.69
  6. Step 6: Final answer
    x = 175,537.43

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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.