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Finding the Fourth Proportional to 224,107.74, 309,268.68 and 123,505.74

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Solution

The fourth proportional to 224,107.74, 309,268.68 and 123,505.74 is: 170,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,107.74 : 309,268.68 = 123,505.74 : x
  2. Step 2: Convert to fraction form
    224,107.74/309,268.68 = 123,505.74/x
  3. Step 3: Cross multiply
    224,107.74x = 309,268.68 × 123,505.74
  4. Step 4: Simplify right side
    224,107.74x = 38,196,457,182.22
  5. Step 5: Solve for x
    x = 38,196,457,182.22/224,107.74
  6. Step 6: Final answer
    x = 170,437.92

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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.