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Finding the Fourth Proportional to 180,570, 270,791.11 and 52,459.63

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Solution

The fourth proportional to 180,570, 270,791.11 and 52,459.63 is: 78,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,570 : 270,791.11 = 52,459.63 : x
  2. Step 2: Convert to fraction form
    180,570/270,791.11 = 52,459.63/x
  3. Step 3: Cross multiply
    180,570x = 270,791.11 × 52,459.63
  4. Step 4: Simplify right side
    180,570x = 14,205,601,437.89
  5. Step 5: Solve for x
    x = 14,205,601,437.89/180,570
  6. Step 6: Final answer
    x = 78,670.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.