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Finding the Fourth Proportional to 105,782.91, 158,700.62 and 52,499.90

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Solution

The fourth proportional to 105,782.91, 158,700.62 and 52,499.90 is: 78,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,782.91 : 158,700.62 = 52,499.90 : x
  2. Step 2: Convert to fraction form
    105,782.91/158,700.62 = 52,499.90/x
  3. Step 3: Cross multiply
    105,782.91x = 158,700.62 × 52,499.90
  4. Step 4: Simplify right side
    105,782.91x = 8,331,765,623.94
  5. Step 5: Solve for x
    x = 8,331,765,623.94/105,782.91
  6. Step 6: Final answer
    x = 78,762.87

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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.