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Finding the Fourth Proportional to 211,981.68, 292,518 and 121,339.44

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Solution

The fourth proportional to 211,981.68, 292,518 and 121,339.44 is: 167,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,981.68 : 292,518 = 121,339.44 : x
  2. Step 2: Convert to fraction form
    211,981.68/292,518 = 121,339.44/x
  3. Step 3: Cross multiply
    211,981.68x = 292,518 × 121,339.44
  4. Step 4: Simplify right side
    211,981.68x = 35,493,970,309.92
  5. Step 5: Solve for x
    x = 35,493,970,309.92/211,981.68
  6. Step 6: Final answer
    x = 167,438.86

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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.