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Finding the Fourth Proportional to 104,496.28, 144,207.72 and 61,478.80

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Solution

The fourth proportional to 104,496.28, 144,207.72 and 61,478.80 is: 84,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,496.28 : 144,207.72 = 61,478.80 : x
  2. Step 2: Convert to fraction form
    104,496.28/144,207.72 = 61,478.80/x
  3. Step 3: Cross multiply
    104,496.28x = 144,207.72 × 61,478.80
  4. Step 4: Simplify right side
    104,496.28x = 8,865,717,576.34
  5. Step 5: Solve for x
    x = 8,865,717,576.34/104,496.28
  6. Step 6: Final answer
    x = 84,842.42

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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.