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Finding the Fourth Proportional to 189,759.81, 284,392.77 and 77,308.32

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Solution

The fourth proportional to 189,759.81, 284,392.77 and 77,308.32 is: 115,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,759.81 : 284,392.77 = 77,308.32 : x
  2. Step 2: Convert to fraction form
    189,759.81/284,392.77 = 77,308.32/x
  3. Step 3: Cross multiply
    189,759.81x = 284,392.77 × 77,308.32
  4. Step 4: Simplify right side
    189,759.81x = 21,985,927,268.85
  5. Step 5: Solve for x
    x = 21,985,927,268.85/189,759.81
  6. Step 6: Final answer
    x = 115,861.87

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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.