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Finding the Fourth Proportional to 211,803.95, 292,296.32 and 121,160.09

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Solution

The fourth proportional to 211,803.95, 292,296.32 and 121,160.09 is: 167,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,803.95 : 292,296.32 = 121,160.09 : x
  2. Step 2: Convert to fraction form
    211,803.95/292,296.32 = 121,160.09/x
  3. Step 3: Cross multiply
    211,803.95x = 292,296.32 × 121,160.09
  4. Step 4: Simplify right side
    211,803.95x = 35,414,649,471.51
  5. Step 5: Solve for x
    x = 35,414,649,471.51/211,803.95
  6. Step 6: Final answer
    x = 167,204.86

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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.