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Finding the Fourth Proportional to 242,401.20, 363,553.20 and 116,041.20

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Solution

The fourth proportional to 242,401.20, 363,553.20 and 116,041.20 is: 174,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,401.20 : 363,553.20 = 116,041.20 : x
  2. Step 2: Convert to fraction form
    242,401.20/363,553.20 = 116,041.20/x
  3. Step 3: Cross multiply
    242,401.20x = 363,553.20 × 116,041.20
  4. Step 4: Simplify right side
    242,401.20x = 42,187,149,591.84
  5. Step 5: Solve for x
    x = 42,187,149,591.84/242,401.20
  6. Step 6: Final answer
    x = 174,038.53

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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.