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Finding the Fourth Proportional to 96,187.55, 144,117.30 and 82,081.40

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Solution

The fourth proportional to 96,187.55, 144,117.30 and 82,081.40 is: 122,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,187.55 : 144,117.30 = 82,081.40 : x
  2. Step 2: Convert to fraction form
    96,187.55/144,117.30 = 82,081.40/x
  3. Step 3: Cross multiply
    96,187.55x = 144,117.30 × 82,081.40
  4. Step 4: Simplify right side
    96,187.55x = 11,829,349,748.22
  5. Step 5: Solve for x
    x = 11,829,349,748.22/96,187.55
  6. Step 6: Final answer
    x = 122,982.13

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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.