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Finding the Fourth Proportional to 230,583.08, 318,352.71 and 144,659.87

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Solution

The fourth proportional to 230,583.08, 318,352.71 and 144,659.87 is: 199,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,583.08 : 318,352.71 = 144,659.87 : x
  2. Step 2: Convert to fraction form
    230,583.08/318,352.71 = 144,659.87/x
  3. Step 3: Cross multiply
    230,583.08x = 318,352.71 × 144,659.87
  4. Step 4: Simplify right side
    230,583.08x = 46,052,862,357.45
  5. Step 5: Solve for x
    x = 46,052,862,357.45/230,583.08
  6. Step 6: Final answer
    x = 199,723.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.