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Finding the Fourth Proportional to 193,490.37, 290,123.46 and 75,023.01

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Solution

The fourth proportional to 193,490.37, 290,123.46 and 75,023.01 is: 112,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,490.37 : 290,123.46 = 75,023.01 : x
  2. Step 2: Convert to fraction form
    193,490.37/290,123.46 = 75,023.01/x
  3. Step 3: Cross multiply
    193,490.37x = 290,123.46 × 75,023.01
  4. Step 4: Simplify right side
    193,490.37x = 21,765,935,240.81
  5. Step 5: Solve for x
    x = 21,765,935,240.81/193,490.37
  6. Step 6: Final answer
    x = 112,491.05

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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.