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Finding the Fourth Proportional to 189,749.76, 284,816.76 and 95,047.80

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Solution

The fourth proportional to 189,749.76, 284,816.76 and 95,047.80 is: 142,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,749.76 : 284,816.76 = 95,047.80 : x
  2. Step 2: Convert to fraction form
    189,749.76/284,816.76 = 95,047.80/x
  3. Step 3: Cross multiply
    189,749.76x = 284,816.76 × 95,047.80
  4. Step 4: Simplify right side
    189,749.76x = 27,071,206,441.13
  5. Step 5: Solve for x
    x = 27,071,206,441.13/189,749.76
  6. Step 6: Final answer
    x = 142,667.94

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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.