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Finding the Fourth Proportional to 211,765.62, 292,202.04 and 121,107

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Solution

The fourth proportional to 211,765.62, 292,202.04 and 121,107 is: 167,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,765.62 : 292,202.04 = 121,107 : x
  2. Step 2: Convert to fraction form
    211,765.62/292,202.04 = 121,107/x
  3. Step 3: Cross multiply
    211,765.62x = 292,202.04 × 121,107
  4. Step 4: Simplify right side
    211,765.62x = 35,387,712,458.28
  5. Step 5: Solve for x
    x = 35,387,712,458.28/211,765.62
  6. Step 6: Final answer
    x = 167,107.92

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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.