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Finding the Fourth Proportional to 144,861.16, 217,311.90 and 65,995.24

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Solution

The fourth proportional to 144,861.16, 217,311.90 and 65,995.24 is: 99,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,861.16 : 217,311.90 = 65,995.24 : x
  2. Step 2: Convert to fraction form
    144,861.16/217,311.90 = 65,995.24/x
  3. Step 3: Cross multiply
    144,861.16x = 217,311.90 × 65,995.24
  4. Step 4: Simplify right side
    144,861.16x = 14,341,550,995.36
  5. Step 5: Solve for x
    x = 14,341,550,995.36/144,861.16
  6. Step 6: Final answer
    x = 99,002.04

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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.