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Finding the Fourth Proportional to 164,808.41, 227,419.85 and 130,898.97

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Solution

The fourth proportional to 164,808.41, 227,419.85 and 130,898.97 is: 180,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,808.41 : 227,419.85 = 130,898.97 : x
  2. Step 2: Convert to fraction form
    164,808.41/227,419.85 = 130,898.97/x
  3. Step 3: Cross multiply
    164,808.41x = 227,419.85 × 130,898.97
  4. Step 4: Simplify right side
    164,808.41x = 29,769,024,449.80
  5. Step 5: Solve for x
    x = 29,769,024,449.80/164,808.41
  6. Step 6: Final answer
    x = 180,628.07

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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.