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Finding the Fourth Proportional to 258,899.11, 357,391.34 and 174,065.38

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Solution

The fourth proportional to 258,899.11, 357,391.34 and 174,065.38 is: 240,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,899.11 : 357,391.34 = 174,065.38 : x
  2. Step 2: Convert to fraction form
    258,899.11/357,391.34 = 174,065.38/x
  3. Step 3: Cross multiply
    258,899.11x = 357,391.34 × 174,065.38
  4. Step 4: Simplify right side
    258,899.11x = 62,209,459,299.91
  5. Step 5: Solve for x
    x = 62,209,459,299.91/258,899.11
  6. Step 6: Final answer
    x = 240,284.56

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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.