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Finding the Fourth Proportional to 132,069.97, 198,097.66 and 96,567.67

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Solution

The fourth proportional to 132,069.97, 198,097.66 and 96,567.67 is: 144,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,069.97 : 198,097.66 = 96,567.67 : x
  2. Step 2: Convert to fraction form
    132,069.97/198,097.66 = 96,567.67/x
  3. Step 3: Cross multiply
    132,069.97x = 198,097.66 × 96,567.67
  4. Step 4: Simplify right side
    132,069.97x = 19,129,829,458.65
  5. Step 5: Solve for x
    x = 19,129,829,458.65/132,069.97
  6. Step 6: Final answer
    x = 144,846.17

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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.