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Finding the Fourth Proportional to 242,023.20, 362,986.20 and 115,663.20

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Solution

The fourth proportional to 242,023.20, 362,986.20 and 115,663.20 is: 173,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,023.20 : 362,986.20 = 115,663.20 : x
  2. Step 2: Convert to fraction form
    242,023.20/362,986.20 = 115,663.20/x
  3. Step 3: Cross multiply
    242,023.20x = 362,986.20 × 115,663.20
  4. Step 4: Simplify right side
    242,023.20x = 41,984,145,447.84
  5. Step 5: Solve for x
    x = 41,984,145,447.84/242,023.20
  6. Step 6: Final answer
    x = 173,471.57

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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.