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Finding the Fourth Proportional to 189,922.96, 262,082.55 and 105,034.42

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Solution

The fourth proportional to 189,922.96, 262,082.55 and 105,034.42 is: 144,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,922.96 : 262,082.55 = 105,034.42 : x
  2. Step 2: Convert to fraction form
    189,922.96/262,082.55 = 105,034.42/x
  3. Step 3: Cross multiply
    189,922.96x = 262,082.55 × 105,034.42
  4. Step 4: Simplify right side
    189,922.96x = 27,527,688,631.37
  5. Step 5: Solve for x
    x = 27,527,688,631.37/189,922.96
  6. Step 6: Final answer
    x = 144,941.34

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