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Finding the Fourth Proportional to 206,943.50, 310,415.26 and 59,199.50

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Solution

The fourth proportional to 206,943.50, 310,415.26 and 59,199.50 is: 88,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,943.50 : 310,415.26 = 59,199.50 : x
  2. Step 2: Convert to fraction form
    206,943.50/310,415.26 = 59,199.50/x
  3. Step 3: Cross multiply
    206,943.50x = 310,415.26 × 59,199.50
  4. Step 4: Simplify right side
    206,943.50x = 18,376,428,184.37
  5. Step 5: Solve for x
    x = 18,376,428,184.37/206,943.50
  6. Step 6: Final answer
    x = 88,799.25

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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.