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Finding the Fourth Proportional to 259,363.58, 357,924.47 and 146,186.33

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Solution

The fourth proportional to 259,363.58, 357,924.47 and 146,186.33 is: 201,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,363.58 : 357,924.47 = 146,186.33 : x
  2. Step 2: Convert to fraction form
    259,363.58/357,924.47 = 146,186.33/x
  3. Step 3: Cross multiply
    259,363.58x = 357,924.47 × 146,186.33
  4. Step 4: Simplify right side
    259,363.58x = 52,323,664,604.56
  5. Step 5: Solve for x
    x = 52,323,664,604.56/259,363.58
  6. Step 6: Final answer
    x = 201,738.67

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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.