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Finding the Fourth Proportional to 210,412.80, 315,619.20 and 151,660.80

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Solution

The fourth proportional to 210,412.80, 315,619.20 and 151,660.80 is: 227,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,412.80 : 315,619.20 = 151,660.80 : x
  2. Step 2: Convert to fraction form
    210,412.80/315,619.20 = 151,660.80/x
  3. Step 3: Cross multiply
    210,412.80x = 315,619.20 × 151,660.80
  4. Step 4: Simplify right side
    210,412.80x = 47,867,060,367.36
  5. Step 5: Solve for x
    x = 47,867,060,367.36/210,412.80
  6. Step 6: Final answer
    x = 227,491.20

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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.