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Finding the Fourth Proportional to 259,393.14, 357,968.01 and 146,215.86

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Solution

The fourth proportional to 259,393.14, 357,968.01 and 146,215.86 is: 201,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,393.14 : 357,968.01 = 146,215.86 : x
  2. Step 2: Convert to fraction form
    259,393.14/357,968.01 = 146,215.86/x
  3. Step 3: Cross multiply
    259,393.14x = 357,968.01 × 146,215.86
  4. Step 4: Simplify right side
    259,393.14x = 52,340,600,434.64
  5. Step 5: Solve for x
    x = 52,340,600,434.64/259,393.14
  6. Step 6: Final answer
    x = 201,780.97

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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.