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Finding the Fourth Proportional to 211,958.52, 292,502.98 and 116,470.86

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Solution

The fourth proportional to 211,958.52, 292,502.98 and 116,470.86 is: 160,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,958.52 : 292,502.98 = 116,470.86 : x
  2. Step 2: Convert to fraction form
    211,958.52/292,502.98 = 116,470.86/x
  3. Step 3: Cross multiply
    211,958.52x = 292,502.98 × 116,470.86
  4. Step 4: Simplify right side
    211,958.52x = 34,068,073,633.16
  5. Step 5: Solve for x
    x = 34,068,073,633.16/211,958.52
  6. Step 6: Final answer
    x = 160,729.91

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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.