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Finding the Fourth Proportional to 211,641.52, 292,064.38 and 116,149.76

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Solution

The fourth proportional to 211,641.52, 292,064.38 and 116,149.76 is: 160,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,641.52 : 292,064.38 = 116,149.76 : x
  2. Step 2: Convert to fraction form
    211,641.52/292,064.38 = 116,149.76/x
  3. Step 3: Cross multiply
    211,641.52x = 292,064.38 × 116,149.76
  4. Step 4: Simplify right side
    211,641.52x = 33,923,207,641.55
  5. Step 5: Solve for x
    x = 33,923,207,641.55/211,641.52
  6. Step 6: Final answer
    x = 160,286.17

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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.