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Finding the Fourth Proportional to 150,589.94, 207,818.61 and 83,520.50

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Solution

The fourth proportional to 150,589.94, 207,818.61 and 83,520.50 is: 115,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,589.94 : 207,818.61 = 83,520.50 : x
  2. Step 2: Convert to fraction form
    150,589.94/207,818.61 = 83,520.50/x
  3. Step 3: Cross multiply
    150,589.94x = 207,818.61 × 83,520.50
  4. Step 4: Simplify right side
    150,589.94x = 17,357,114,216.51
  5. Step 5: Solve for x
    x = 17,357,114,216.51/150,589.94
  6. Step 6: Final answer
    x = 115,260.78

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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.