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Finding the Fourth Proportional to 192,097.25, 288,113.37 and 70,492.76

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Solution

The fourth proportional to 192,097.25, 288,113.37 and 70,492.76 is: 105,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,097.25 : 288,113.37 = 70,492.76 : x
  2. Step 2: Convert to fraction form
    192,097.25/288,113.37 = 70,492.76/x
  3. Step 3: Cross multiply
    192,097.25x = 288,113.37 × 70,492.76
  4. Step 4: Simplify right side
    192,097.25x = 20,309,906,644.20
  5. Step 5: Solve for x
    x = 20,309,906,644.20/192,097.25
  6. Step 6: Final answer
    x = 105,727.21

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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.