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Finding the Fourth Proportional to 207,191.64, 310,789.76 and 57,433.22

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Solution

The fourth proportional to 207,191.64, 310,789.76 and 57,433.22 is: 86,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,191.64 : 310,789.76 = 57,433.22 : x
  2. Step 2: Convert to fraction form
    207,191.64/310,789.76 = 57,433.22/x
  3. Step 3: Cross multiply
    207,191.64x = 310,789.76 × 57,433.22
  4. Step 4: Simplify right side
    207,191.64x = 17,849,656,659.83
  5. Step 5: Solve for x
    x = 17,849,656,659.83/207,191.64
  6. Step 6: Final answer
    x = 86,150.47

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Why These Related Problems?

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