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Finding the Fourth Proportional to 164,861.72, 227,524.29 and 103,617.87

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Solution

The fourth proportional to 164,861.72, 227,524.29 and 103,617.87 is: 143,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,861.72 : 227,524.29 = 103,617.87 : x
  2. Step 2: Convert to fraction form
    164,861.72/227,524.29 = 103,617.87/x
  3. Step 3: Cross multiply
    164,861.72x = 227,524.29 × 103,617.87
  4. Step 4: Simplify right side
    164,861.72x = 23,575,582,303.06
  5. Step 5: Solve for x
    x = 23,575,582,303.06/164,861.72
  6. Step 6: Final answer
    x = 143,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.