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Finding the Fourth Proportional to 211,863.83, 292,373.82 and 116,372.66

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Solution

The fourth proportional to 211,863.83, 292,373.82 and 116,372.66 is: 160,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,863.83 : 292,373.82 = 116,372.66 : x
  2. Step 2: Convert to fraction form
    211,863.83/292,373.82 = 116,372.66/x
  3. Step 3: Cross multiply
    211,863.83x = 292,373.82 × 116,372.66
  4. Step 4: Simplify right side
    211,863.83x = 34,024,317,685.89
  5. Step 5: Solve for x
    x = 34,024,317,685.89/211,863.83
  6. Step 6: Final answer
    x = 160,595.22

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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.