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Finding the Fourth Proportional to 189,876.00, 284,876.34 and 77,650.60

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Solution

The fourth proportional to 189,876.00, 284,876.34 and 77,650.60 is: 116,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,876.00 : 284,876.34 = 77,650.60 : x
  2. Step 2: Convert to fraction form
    189,876.00/284,876.34 = 77,650.60/x
  3. Step 3: Cross multiply
    189,876.00x = 284,876.34 × 77,650.60
  4. Step 4: Simplify right side
    189,876.00x = 22,120,818,694.35
  5. Step 5: Solve for x
    x = 22,120,818,694.35/189,876.00
  6. Step 6: Final answer
    x = 116,501.40

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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.