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Finding the Fourth Proportional to 237,370.54, 355,809.76 and 148,419.78

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Solution

The fourth proportional to 237,370.54, 355,809.76 and 148,419.78 is: 222,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,370.54 : 355,809.76 = 148,419.78 : x
  2. Step 2: Convert to fraction form
    237,370.54/355,809.76 = 148,419.78/x
  3. Step 3: Cross multiply
    237,370.54x = 355,809.76 × 148,419.78
  4. Step 4: Simplify right side
    237,370.54x = 52,809,206,301.05
  5. Step 5: Solve for x
    x = 52,809,206,301.05/237,370.54
  6. Step 6: Final answer
    x = 222,475.82

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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.