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Finding the Fourth Proportional to 147,082.40, 220,623.60 and 102,845.60

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Solution

The fourth proportional to 147,082.40, 220,623.60 and 102,845.60 is: 154,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,082.40 : 220,623.60 = 102,845.60 : x
  2. Step 2: Convert to fraction form
    147,082.40/220,623.60 = 102,845.60/x
  3. Step 3: Cross multiply
    147,082.40x = 220,623.60 × 102,845.60
  4. Step 4: Simplify right side
    147,082.40x = 22,690,166,516.16
  5. Step 5: Solve for x
    x = 22,690,166,516.16/147,082.40
  6. Step 6: Final answer
    x = 154,268.40

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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.