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Finding the Fourth Proportional to 212,520.64, 293,278.45 and 117,027.10

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Solution

The fourth proportional to 212,520.64, 293,278.45 and 117,027.10 is: 161,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,520.64 : 293,278.45 = 117,027.10 : x
  2. Step 2: Convert to fraction form
    212,520.64/293,278.45 = 117,027.10/x
  3. Step 3: Cross multiply
    212,520.64x = 293,278.45 × 117,027.10
  4. Step 4: Simplify right side
    212,520.64x = 34,321,526,496.00
  5. Step 5: Solve for x
    x = 34,321,526,496.00/212,520.64
  6. Step 6: Final answer
    x = 161,497.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.