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Finding the Fourth Proportional to 259,098.34, 357,581.21 and 151,661.86

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Solution

The fourth proportional to 259,098.34, 357,581.21 and 151,661.86 is: 209,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,098.34 : 357,581.21 = 151,661.86 : x
  2. Step 2: Convert to fraction form
    259,098.34/357,581.21 = 151,661.86/x
  3. Step 3: Cross multiply
    259,098.34x = 357,581.21 × 151,661.86
  4. Step 4: Simplify right side
    259,098.34x = 54,231,431,409.65
  5. Step 5: Solve for x
    x = 54,231,431,409.65/259,098.34
  6. Step 6: Final answer
    x = 209,308.29

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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.