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Finding the Fourth Proportional to 144,071.88, 198,581.22 and 96,307.80

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Solution

The fourth proportional to 144,071.88, 198,581.22 and 96,307.80 is: 132,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,071.88 : 198,581.22 = 96,307.80 : x
  2. Step 2: Convert to fraction form
    144,071.88/198,581.22 = 96,307.80/x
  3. Step 3: Cross multiply
    144,071.88x = 198,581.22 × 96,307.80
  4. Step 4: Simplify right side
    144,071.88x = 19,124,920,419.52
  5. Step 5: Solve for x
    x = 19,124,920,419.52/144,071.88
  6. Step 6: Final answer
    x = 132,745.69

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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.