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Finding the Fourth Proportional to 210,328.70, 315,821.10 and 121,755.20

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Solution

The fourth proportional to 210,328.70, 315,821.10 and 121,755.20 is: 182,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,328.70 : 315,821.10 = 121,755.20 : x
  2. Step 2: Convert to fraction form
    210,328.70/315,821.10 = 121,755.20/x
  3. Step 3: Cross multiply
    210,328.70x = 315,821.10 × 121,755.20
  4. Step 4: Simplify right side
    210,328.70x = 38,452,861,194.72
  5. Step 5: Solve for x
    x = 38,452,861,194.72/210,328.70
  6. Step 6: Final answer
    x = 182,822.70

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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.