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Finding the Fourth Proportional to 189,549.57, 261,623.28 and 109,023.63

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Solution

The fourth proportional to 189,549.57, 261,623.28 and 109,023.63 is: 150,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,549.57 : 261,623.28 = 109,023.63 : x
  2. Step 2: Convert to fraction form
    189,549.57/261,623.28 = 109,023.63/x
  3. Step 3: Cross multiply
    189,549.57x = 261,623.28 × 109,023.63
  4. Step 4: Simplify right side
    189,549.57x = 28,523,119,678.11
  5. Step 5: Solve for x
    x = 28,523,119,678.11/189,549.57
  6. Step 6: Final answer
    x = 150,478.42

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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.