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Finding the Fourth Proportional to 259,289.02, 357,818.34 and 140,057.02

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Solution

The fourth proportional to 259,289.02, 357,818.34 and 140,057.02 is: 193,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,289.02 : 357,818.34 = 140,057.02 : x
  2. Step 2: Convert to fraction form
    259,289.02/357,818.34 = 140,057.02/x
  3. Step 3: Cross multiply
    259,289.02x = 357,818.34 × 140,057.02
  4. Step 4: Simplify right side
    259,289.02x = 50,114,970,401.75
  5. Step 5: Solve for x
    x = 50,114,970,401.75/259,289.02
  6. Step 6: Final answer
    x = 193,278.41

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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.