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Finding the Fourth Proportional to 258,892.30, 357,270.63 and 145,715.05

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Solution

The fourth proportional to 258,892.30, 357,270.63 and 145,715.05 is: 201,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,892.30 : 357,270.63 = 145,715.05 : x
  2. Step 2: Convert to fraction form
    258,892.30/357,270.63 = 145,715.05/x
  3. Step 3: Cross multiply
    258,892.30x = 357,270.63 × 145,715.05
  4. Step 4: Simplify right side
    258,892.30x = 52,059,707,713.98
  5. Step 5: Solve for x
    x = 52,059,707,713.98/258,892.30
  6. Step 6: Final answer
    x = 201,086.35

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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.