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Finding the Fourth Proportional to 212,077, 292,660.02 and 121,429.96

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Solution

The fourth proportional to 212,077, 292,660.02 and 121,429.96 is: 167,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,077 : 292,660.02 = 121,429.96 : x
  2. Step 2: Convert to fraction form
    212,077/292,660.02 = 121,429.96/x
  3. Step 3: Cross multiply
    212,077x = 292,660.02 × 121,429.96
  4. Step 4: Simplify right side
    212,077x = 35,537,694,522.20
  5. Step 5: Solve for x
    x = 35,537,694,522.20/212,077
  6. Step 6: Final answer
    x = 167,569.77

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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.