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Finding the Fourth Proportional to 187,591, 258,900.30 and 107,000.08

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Solution

The fourth proportional to 187,591, 258,900.30 and 107,000.08 is: 147,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,591 : 258,900.30 = 107,000.08 : x
  2. Step 2: Convert to fraction form
    187,591/258,900.30 = 107,000.08/x
  3. Step 3: Cross multiply
    187,591x = 258,900.30 × 107,000.08
  4. Step 4: Simplify right side
    187,591x = 27,702,352,812.02
  5. Step 5: Solve for x
    x = 27,702,352,812.02/187,591
  6. Step 6: Final answer
    x = 147,674.21

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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.