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Finding the Fourth Proportional to 224,022, 309,149.07 and 122,047.25

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Solution

The fourth proportional to 224,022, 309,149.07 and 122,047.25 is: 168,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,022 : 309,149.07 = 122,047.25 : x
  2. Step 2: Convert to fraction form
    224,022/309,149.07 = 122,047.25/x
  3. Step 3: Cross multiply
    224,022x = 309,149.07 × 122,047.25
  4. Step 4: Simplify right side
    224,022x = 37,730,792,287.81
  5. Step 5: Solve for x
    x = 37,730,792,287.81/224,022
  6. Step 6: Final answer
    x = 168,424.50

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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.