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Finding the Fourth Proportional to 258,735.36, 357,061.74 and 142,452.38

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Solution

The fourth proportional to 258,735.36, 357,061.74 and 142,452.38 is: 196,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,735.36 : 357,061.74 = 142,452.38 : x
  2. Step 2: Convert to fraction form
    258,735.36/357,061.74 = 142,452.38/x
  3. Step 3: Cross multiply
    258,735.36x = 357,061.74 × 142,452.38
  4. Step 4: Simplify right side
    258,735.36x = 50,864,292,884.63
  5. Step 5: Solve for x
    x = 50,864,292,884.63/258,735.36
  6. Step 6: Final answer
    x = 196,588.10

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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.