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Finding the Fourth Proportional to 96,285.36, 144,431 and 26,166.16

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Solution

The fourth proportional to 96,285.36, 144,431 and 26,166.16 is: 39,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,285.36 : 144,431 = 26,166.16 : x
  2. Step 2: Convert to fraction form
    96,285.36/144,431 = 26,166.16/x
  3. Step 3: Cross multiply
    96,285.36x = 144,431 × 26,166.16
  4. Step 4: Simplify right side
    96,285.36x = 3,779,204,654.96
  5. Step 5: Solve for x
    x = 3,779,204,654.96/96,285.36
  6. Step 6: Final answer
    x = 39,250.04

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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.