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Finding the Fourth Proportional to 202,309.70, 303,792.60 and 146,541.20

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Solution

The fourth proportional to 202,309.70, 303,792.60 and 146,541.20 is: 220,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.70 : 303,792.60 = 146,541.20 : x
  2. Step 2: Convert to fraction form
    202,309.70/303,792.60 = 146,541.20/x
  3. Step 3: Cross multiply
    202,309.70x = 303,792.60 × 146,541.20
  4. Step 4: Simplify right side
    202,309.70x = 44,518,132,155.12
  5. Step 5: Solve for x
    x = 44,518,132,155.12/202,309.70
  6. Step 6: Final answer
    x = 220,049.42

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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.