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Finding the Fourth Proportional to 210,727.60, 315,313.80 and 192,065.20

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Solution

The fourth proportional to 210,727.60, 315,313.80 and 192,065.20 is: 287,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,727.60 : 315,313.80 = 192,065.20 : x
  2. Step 2: Convert to fraction form
    210,727.60/315,313.80 = 192,065.20/x
  3. Step 3: Cross multiply
    210,727.60x = 315,313.80 × 192,065.20
  4. Step 4: Simplify right side
    210,727.60x = 60,560,808,059.76
  5. Step 5: Solve for x
    x = 60,560,808,059.76/210,727.60
  6. Step 6: Final answer
    x = 287,389.07

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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.