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Finding the Fourth Proportional to 189,999.78, 284,999.49 and 90,105.51

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Solution

The fourth proportional to 189,999.78, 284,999.49 and 90,105.51 is: 135,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,999.78 : 284,999.49 = 90,105.51 : x
  2. Step 2: Convert to fraction form
    189,999.78/284,999.49 = 90,105.51/x
  3. Step 3: Cross multiply
    189,999.78x = 284,999.49 × 90,105.51
  4. Step 4: Simplify right side
    189,999.78x = 25,680,024,396.19
  5. Step 5: Solve for x
    x = 25,680,024,396.19/189,999.78
  6. Step 6: Final answer
    x = 135,158.18

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1.5x scale

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.