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Finding the Fourth Proportional to 211,990.88, 292,552.80 and 116,500

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Solution

The fourth proportional to 211,990.88, 292,552.80 and 116,500 is: 160,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,990.88 : 292,552.80 = 116,500 : x
  2. Step 2: Convert to fraction form
    211,990.88/292,552.80 = 116,500/x
  3. Step 3: Cross multiply
    211,990.88x = 292,552.80 × 116,500
  4. Step 4: Simplify right side
    211,990.88x = 34,082,401,200
  5. Step 5: Solve for x
    x = 34,082,401,200/211,990.88
  6. Step 6: Final answer
    x = 160,772.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.