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Finding the Fourth Proportional to 189,825.30, 284,781.15 and 110,898.90

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Solution

The fourth proportional to 189,825.30, 284,781.15 and 110,898.90 is: 166,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,825.30 : 284,781.15 = 110,898.90 : x
  2. Step 2: Convert to fraction form
    189,825.30/284,781.15 = 110,898.90/x
  3. Step 3: Cross multiply
    189,825.30x = 284,781.15 × 110,898.90
  4. Step 4: Simplify right side
    189,825.30x = 31,581,916,275.74
  5. Step 5: Solve for x
    x = 31,581,916,275.74/189,825.30
  6. Step 6: Final answer
    x = 166,373.59

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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.