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Finding the Fourth Proportional to 189,856.84, 284,798.22 and 65,285.32

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Solution

The fourth proportional to 189,856.84, 284,798.22 and 65,285.32 is: 97,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856.84 : 284,798.22 = 65,285.32 : x
  2. Step 2: Convert to fraction form
    189,856.84/284,798.22 = 65,285.32/x
  3. Step 3: Cross multiply
    189,856.84x = 284,798.22 × 65,285.32
  4. Step 4: Simplify right side
    189,856.84x = 18,593,142,928.13
  5. Step 5: Solve for x
    x = 18,593,142,928.13/189,856.84
  6. Step 6: Final answer
    x = 97,932.44

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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.