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Finding the Fourth Proportional to 192,904.10, 289,312.95 and 126,808.10

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Solution

The fourth proportional to 192,904.10, 289,312.95 and 126,808.10 is: 190,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,904.10 : 289,312.95 = 126,808.10 : x
  2. Step 2: Convert to fraction form
    192,904.10/289,312.95 = 126,808.10/x
  3. Step 3: Cross multiply
    192,904.10x = 289,312.95 × 126,808.10
  4. Step 4: Simplify right side
    192,904.10x = 36,687,225,494.90
  5. Step 5: Solve for x
    x = 36,687,225,494.90/192,904.10
  6. Step 6: Final answer
    x = 190,183.75

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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.