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Finding the Fourth Proportional to 101,842.86, 152,764.29 and 54,313.96

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Solution

The fourth proportional to 101,842.86, 152,764.29 and 54,313.96 is: 81,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.86 : 152,764.29 = 54,313.96 : x
  2. Step 2: Convert to fraction form
    101,842.86/152,764.29 = 54,313.96/x
  3. Step 3: Cross multiply
    101,842.86x = 152,764.29 × 54,313.96
  4. Step 4: Simplify right side
    101,842.86x = 8,297,232,529.21
  5. Step 5: Solve for x
    x = 8,297,232,529.21/101,842.86
  6. Step 6: Final answer
    x = 81,470.93

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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.