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Finding the Fourth Proportional to 211,894.92, 292,418.64 and 116,405.64

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Solution

The fourth proportional to 211,894.92, 292,418.64 and 116,405.64 is: 160,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,894.92 : 292,418.64 = 116,405.64 : x
  2. Step 2: Convert to fraction form
    211,894.92/292,418.64 = 116,405.64/x
  3. Step 3: Cross multiply
    211,894.92x = 292,418.64 × 116,405.64
  4. Step 4: Simplify right side
    211,894.92x = 34,039,178,937.13
  5. Step 5: Solve for x
    x = 34,039,178,937.13/211,894.92
  6. Step 6: Final answer
    x = 160,641.79

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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.