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Finding the Fourth Proportional to 189,374.29, 284,061.06 and 110,433.15

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Solution

The fourth proportional to 189,374.29, 284,061.06 and 110,433.15 is: 165,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,374.29 : 284,061.06 = 110,433.15 : x
  2. Step 2: Convert to fraction form
    189,374.29/284,061.06 = 110,433.15/x
  3. Step 3: Cross multiply
    189,374.29x = 284,061.06 × 110,433.15
  4. Step 4: Simplify right side
    189,374.29x = 31,369,757,648.14
  5. Step 5: Solve for x
    x = 31,369,757,648.14/189,374.29
  6. Step 6: Final answer
    x = 165,649.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.