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Finding the Fourth Proportional to 322,113.76, 483,072.18 and 153,545.20

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Solution

The fourth proportional to 322,113.76, 483,072.18 and 153,545.20 is: 230,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,113.76 : 483,072.18 = 153,545.20 : x
  2. Step 2: Convert to fraction form
    322,113.76/483,072.18 = 153,545.20/x
  3. Step 3: Cross multiply
    322,113.76x = 483,072.18 × 153,545.20
  4. Step 4: Simplify right side
    322,113.76x = 74,173,414,492.54
  5. Step 5: Solve for x
    x = 74,173,414,492.54/322,113.76
  6. Step 6: Final answer
    x = 230,270.87

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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.