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Finding the Fourth Proportional to 258,384.39, 356,568.85 and 145,207.14

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Solution

The fourth proportional to 258,384.39, 356,568.85 and 145,207.14 is: 200,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,384.39 : 356,568.85 = 145,207.14 : x
  2. Step 2: Convert to fraction form
    258,384.39/356,568.85 = 145,207.14/x
  3. Step 3: Cross multiply
    258,384.39x = 356,568.85 × 145,207.14
  4. Step 4: Simplify right side
    258,384.39x = 51,776,342,921.59
  5. Step 5: Solve for x
    x = 51,776,342,921.59/258,384.39
  6. Step 6: Final answer
    x = 200,384.95

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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.