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Finding the Fourth Proportional to 258,974.84, 357,419.36 and 145,819.64

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Solution

The fourth proportional to 258,974.84, 357,419.36 and 145,819.64 is: 201,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,974.84 : 357,419.36 = 145,819.64 : x
  2. Step 2: Convert to fraction form
    258,974.84/357,419.36 = 145,819.64/x
  3. Step 3: Cross multiply
    258,974.84x = 357,419.36 × 145,819.64
  4. Step 4: Simplify right side
    258,974.84x = 52,118,762,404.23
  5. Step 5: Solve for x
    x = 52,118,762,404.23/258,974.84
  6. Step 6: Final answer
    x = 201,250.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.