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Finding the Fourth Proportional to 150,812.65, 208,069.35 and 96,396.65

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Solution

The fourth proportional to 150,812.65, 208,069.35 and 96,396.65 is: 132,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812.65 : 208,069.35 = 96,396.65 : x
  2. Step 2: Convert to fraction form
    150,812.65/208,069.35 = 96,396.65/x
  3. Step 3: Cross multiply
    150,812.65x = 208,069.35 × 96,396.65
  4. Step 4: Simplify right side
    150,812.65x = 20,057,187,267.33
  5. Step 5: Solve for x
    x = 20,057,187,267.33/150,812.65
  6. Step 6: Final answer
    x = 132,994.07

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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.