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Finding the Fourth Proportional to 213,615.40, 320,471.70 and 124,823.20

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Solution

The fourth proportional to 213,615.40, 320,471.70 and 124,823.20 is: 187,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615.40 : 320,471.70 = 124,823.20 : x
  2. Step 2: Convert to fraction form
    213,615.40/320,471.70 = 124,823.20/x
  3. Step 3: Cross multiply
    213,615.40x = 320,471.70 × 124,823.20
  4. Step 4: Simplify right side
    213,615.40x = 40,002,303,103.44
  5. Step 5: Solve for x
    x = 40,002,303,103.44/213,615.40
  6. Step 6: Final answer
    x = 187,263.20

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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.