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Finding the Fourth Proportional to 211,924.32, 292,584 and 140,365.68

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Solution

The fourth proportional to 211,924.32, 292,584 and 140,365.68 is: 193,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,924.32 : 292,584 = 140,365.68 : x
  2. Step 2: Convert to fraction form
    211,924.32/292,584 = 140,365.68/x
  3. Step 3: Cross multiply
    211,924.32x = 292,584 × 140,365.68
  4. Step 4: Simplify right side
    211,924.32x = 41,068,752,117.12
  5. Step 5: Solve for x
    x = 41,068,752,117.12/211,924.32
  6. Step 6: Final answer
    x = 193,789.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.