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Finding the Fourth Proportional to 180,233.62, 270,354.15 and 55,574.50

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Solution

The fourth proportional to 180,233.62, 270,354.15 and 55,574.50 is: 83,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,233.62 : 270,354.15 = 55,574.50 : x
  2. Step 2: Convert to fraction form
    180,233.62/270,354.15 = 55,574.50/x
  3. Step 3: Cross multiply
    180,233.62x = 270,354.15 × 55,574.50
  4. Step 4: Simplify right side
    180,233.62x = 15,024,796,709.18
  5. Step 5: Solve for x
    x = 15,024,796,709.18/180,233.62
  6. Step 6: Final answer
    x = 83,362.90

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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.