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Finding the Fourth Proportional to 189,082.42, 260,930.36 and 103,042.14

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Solution

The fourth proportional to 189,082.42, 260,930.36 and 103,042.14 is: 142,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,082.42 : 260,930.36 = 103,042.14 : x
  2. Step 2: Convert to fraction form
    189,082.42/260,930.36 = 103,042.14/x
  3. Step 3: Cross multiply
    189,082.42x = 260,930.36 × 103,042.14
  4. Step 4: Simplify right side
    189,082.42x = 26,886,822,685.37
  5. Step 5: Solve for x
    x = 26,886,822,685.37/189,082.42
  6. Step 6: Final answer
    x = 142,196.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.