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Finding the Fourth Proportional to 211,934.32, 292,597.80 and 140,375.68

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Solution

The fourth proportional to 211,934.32, 292,597.80 and 140,375.68 is: 193,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,934.32 : 292,597.80 = 140,375.68 : x
  2. Step 2: Convert to fraction form
    211,934.32/292,597.80 = 140,375.68/x
  3. Step 3: Cross multiply
    211,934.32x = 292,597.80 × 140,375.68
  4. Step 4: Simplify right side
    211,934.32x = 41,073,615,141.50
  5. Step 5: Solve for x
    x = 41,073,615,141.50/211,934.32
  6. Step 6: Final answer
    x = 193,803.51

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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.