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Finding the Fourth Proportional to 259,062.24, 357,443.64 and 145,884.96

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Solution

The fourth proportional to 259,062.24, 357,443.64 and 145,884.96 is: 201,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,062.24 : 357,443.64 = 145,884.96 : x
  2. Step 2: Convert to fraction form
    259,062.24/357,443.64 = 145,884.96/x
  3. Step 3: Cross multiply
    259,062.24x = 357,443.64 × 145,884.96
  4. Step 4: Simplify right side
    259,062.24x = 52,145,651,123.65
  5. Step 5: Solve for x
    x = 52,145,651,123.65/259,062.24
  6. Step 6: Final answer
    x = 201,286.19

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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.