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Finding the Fourth Proportional to 224,107.47, 309,268.31 and 123,505.47

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Solution

The fourth proportional to 224,107.47, 309,268.31 and 123,505.47 is: 170,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,107.47 : 309,268.31 = 123,505.47 : x
  2. Step 2: Convert to fraction form
    224,107.47/309,268.31 = 123,505.47/x
  3. Step 3: Cross multiply
    224,107.47x = 309,268.31 × 123,505.47
  4. Step 4: Simplify right side
    224,107.47x = 38,196,325,818.79
  5. Step 5: Solve for x
    x = 38,196,325,818.79/224,107.47
  6. Step 6: Final answer
    x = 170,437.54

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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.