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Finding the Fourth Proportional to 233,502.82, 350,303.47 and 75,719.00

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Solution

The fourth proportional to 233,502.82, 350,303.47 and 75,719.00 is: 113,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,502.82 : 350,303.47 = 75,719.00 : x
  2. Step 2: Convert to fraction form
    233,502.82/350,303.47 = 75,719.00/x
  3. Step 3: Cross multiply
    233,502.82x = 350,303.47 × 75,719.00
  4. Step 4: Simplify right side
    233,502.82x = 26,524,629,131.39
  5. Step 5: Solve for x
    x = 26,524,629,131.39/233,502.82
  6. Step 6: Final answer
    x = 113,594.47

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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.