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Finding the Fourth Proportional to 259,296.88, 357,829.70 and 140,064.88

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Solution

The fourth proportional to 259,296.88, 357,829.70 and 140,064.88 is: 193,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296.88 : 357,829.70 = 140,064.88 : x
  2. Step 2: Convert to fraction form
    259,296.88/357,829.70 = 140,064.88/x
  3. Step 3: Cross multiply
    259,296.88x = 357,829.70 × 140,064.88
  4. Step 4: Simplify right side
    259,296.88x = 50,119,373,990.94
  5. Step 5: Solve for x
    x = 50,119,373,990.94/259,296.88
  6. Step 6: Final answer
    x = 193,289.54

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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.