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Finding the Fourth Proportional to 189,761.76, 284,582.16 and 77,441.76

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Solution

The fourth proportional to 189,761.76, 284,582.16 and 77,441.76 is: 116,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,761.76 : 284,582.16 = 77,441.76 : x
  2. Step 2: Convert to fraction form
    189,761.76/284,582.16 = 77,441.76/x
  3. Step 3: Cross multiply
    189,761.76x = 284,582.16 × 77,441.76
  4. Step 4: Simplify right side
    189,761.76x = 22,038,543,335.00
  5. Step 5: Solve for x
    x = 22,038,543,335.00/189,761.76
  6. Step 6: Final answer
    x = 116,137.96

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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.