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Finding the Fourth Proportional to 224,206.72, 309,532 and 148,858.24

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Solution

The fourth proportional to 224,206.72, 309,532 and 148,858.24 is: 205,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,206.72 : 309,532 = 148,858.24 : x
  2. Step 2: Convert to fraction form
    224,206.72/309,532 = 148,858.24/x
  3. Step 3: Cross multiply
    224,206.72x = 309,532 × 148,858.24
  4. Step 4: Simplify right side
    224,206.72x = 46,076,388,743.68
  5. Step 5: Solve for x
    x = 46,076,388,743.68/224,206.72
  6. Step 6: Final answer
    x = 205,508.51

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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.