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Finding the Fourth Proportional to 189,617.28, 284,581.44 and 96,149.76

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Solution

The fourth proportional to 189,617.28, 284,581.44 and 96,149.76 is: 144,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,617.28 : 284,581.44 = 96,149.76 : x
  2. Step 2: Convert to fraction form
    189,617.28/284,581.44 = 96,149.76/x
  3. Step 3: Cross multiply
    189,617.28x = 284,581.44 × 96,149.76
  4. Step 4: Simplify right side
    189,617.28x = 27,362,437,156.45
  5. Step 5: Solve for x
    x = 27,362,437,156.45/189,617.28
  6. Step 6: Final answer
    x = 144,303.50

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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.