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Finding the Fourth Proportional to 259,245.34, 357,758.40 and 140,013.34

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Solution

The fourth proportional to 259,245.34, 357,758.40 and 140,013.34 is: 193,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,245.34 : 357,758.40 = 140,013.34 : x
  2. Step 2: Convert to fraction form
    259,245.34/357,758.40 = 140,013.34/x
  3. Step 3: Cross multiply
    259,245.34x = 357,758.40 × 140,013.34
  4. Step 4: Simplify right side
    259,245.34x = 50,090,948,497.06
  5. Step 5: Solve for x
    x = 50,090,948,497.06/259,245.34
  6. Step 6: Final answer
    x = 193,218.32

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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.