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Finding the Fourth Proportional to 259,244.88, 357,795 and 146,078.16

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Solution

The fourth proportional to 259,244.88, 357,795 and 146,078.16 is: 201,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,244.88 : 357,795 = 146,078.16 : x
  2. Step 2: Convert to fraction form
    259,244.88/357,795 = 146,078.16/x
  3. Step 3: Cross multiply
    259,244.88x = 357,795 × 146,078.16
  4. Step 4: Simplify right side
    259,244.88x = 52,266,035,257.20
  5. Step 5: Solve for x
    x = 52,266,035,257.20/259,244.88
  6. Step 6: Final answer
    x = 201,608.75

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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.