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Finding the Fourth Proportional to 224,245.56, 309,457.62 and 123,643.56

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Solution

The fourth proportional to 224,245.56, 309,457.62 and 123,643.56 is: 170,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,245.56 : 309,457.62 = 123,643.56 : x
  2. Step 2: Convert to fraction form
    224,245.56/309,457.62 = 123,643.56/x
  3. Step 3: Cross multiply
    224,245.56x = 309,457.62 × 123,643.56
  4. Step 4: Simplify right side
    224,245.56x = 38,262,441,805.93
  5. Step 5: Solve for x
    x = 38,262,441,805.93/224,245.56
  6. Step 6: Final answer
    x = 170,627.42

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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.