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Finding the Fourth Proportional to 135,572, 187,089.36 and 82,580

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Solution

The fourth proportional to 135,572, 187,089.36 and 82,580 is: 113,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,572 : 187,089.36 = 82,580 : x
  2. Step 2: Convert to fraction form
    135,572/187,089.36 = 82,580/x
  3. Step 3: Cross multiply
    135,572x = 187,089.36 × 82,580
  4. Step 4: Simplify right side
    135,572x = 15,449,839,348.80
  5. Step 5: Solve for x
    x = 15,449,839,348.80/135,572
  6. Step 6: Final answer
    x = 113,960.40

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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.