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Finding the Fourth Proportional to 96,383.40, 144,522.42 and 53,701.80

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Solution

The fourth proportional to 96,383.40, 144,522.42 and 53,701.80 is: 80,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,383.40 : 144,522.42 = 53,701.80 : x
  2. Step 2: Convert to fraction form
    96,383.40/144,522.42 = 53,701.80/x
  3. Step 3: Cross multiply
    96,383.40x = 144,522.42 × 53,701.80
  4. Step 4: Simplify right side
    96,383.40x = 7,761,114,094.36
  5. Step 5: Solve for x
    x = 7,761,114,094.36/96,383.40
  6. Step 6: Final answer
    x = 80,523.35

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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.