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Finding the Fourth Proportional to 212,461.30, 293,246.46 and 121,815.64

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Solution

The fourth proportional to 212,461.30, 293,246.46 and 121,815.64 is: 168,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,461.30 : 293,246.46 = 121,815.64 : x
  2. Step 2: Convert to fraction form
    212,461.30/293,246.46 = 121,815.64/x
  3. Step 3: Cross multiply
    212,461.30x = 293,246.46 × 121,815.64
  4. Step 4: Simplify right side
    212,461.30x = 35,722,005,202.63
  5. Step 5: Solve for x
    x = 35,722,005,202.63/212,461.30
  6. Step 6: Final answer
    x = 168,134.17

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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.