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Finding the Fourth Proportional to 212,650.32, 293,458.17 and 117,156.79

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Solution

The fourth proportional to 212,650.32, 293,458.17 and 117,156.79 is: 161,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,650.32 : 293,458.17 = 117,156.79 : x
  2. Step 2: Convert to fraction form
    212,650.32/293,458.17 = 117,156.79/x
  3. Step 3: Cross multiply
    212,650.32x = 293,458.17 × 117,156.79
  4. Step 4: Simplify right side
    212,650.32x = 34,380,617,196.47
  5. Step 5: Solve for x
    x = 34,380,617,196.47/212,650.32
  6. Step 6: Final answer
    x = 161,676.77

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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.