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Finding the Fourth Proportional to 233,048.70, 349,600.05 and 75,293.10

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Solution

The fourth proportional to 233,048.70, 349,600.05 and 75,293.10 is: 112,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,048.70 : 349,600.05 = 75,293.10 : x
  2. Step 2: Convert to fraction form
    233,048.70/349,600.05 = 75,293.10/x
  3. Step 3: Cross multiply
    233,048.70x = 349,600.05 × 75,293.10
  4. Step 4: Simplify right side
    233,048.70x = 26,322,471,524.66
  5. Step 5: Solve for x
    x = 26,322,471,524.66/233,048.70
  6. Step 6: Final answer
    x = 112,948.37

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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.