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Finding the Fourth Proportional to 258,882.55, 357,257.19 and 145,705.30

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Solution

The fourth proportional to 258,882.55, 357,257.19 and 145,705.30 is: 201,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,882.55 : 357,257.19 = 145,705.30 : x
  2. Step 2: Convert to fraction form
    258,882.55/357,257.19 = 145,705.30/x
  3. Step 3: Cross multiply
    258,882.55x = 357,257.19 × 145,705.30
  4. Step 4: Simplify right side
    258,882.55x = 52,054,266,046.11
  5. Step 5: Solve for x
    x = 52,054,266,046.11/258,882.55
  6. Step 6: Final answer
    x = 201,072.90

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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.