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Finding the Fourth Proportional to 211,604.92, 292,010.80 and 116,110.78

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Solution

The fourth proportional to 211,604.92, 292,010.80 and 116,110.78 is: 160,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,604.92 : 292,010.80 = 116,110.78 : x
  2. Step 2: Convert to fraction form
    211,604.92/292,010.80 = 116,110.78/x
  3. Step 3: Cross multiply
    211,604.92x = 292,010.80 × 116,110.78
  4. Step 4: Simplify right side
    211,604.92x = 33,905,601,756.42
  5. Step 5: Solve for x
    x = 33,905,601,756.42/211,604.92
  6. Step 6: Final answer
    x = 160,230.69

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1.5x scale

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.