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Finding the Fourth Proportional to 212,753.54, 293,601.94 and 117,263.90

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Solution

The fourth proportional to 212,753.54, 293,601.94 and 117,263.90 is: 161,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,753.54 : 293,601.94 = 117,263.90 : x
  2. Step 2: Convert to fraction form
    212,753.54/293,601.94 = 117,263.90/x
  3. Step 3: Cross multiply
    212,753.54x = 293,601.94 × 117,263.90
  4. Step 4: Simplify right side
    212,753.54x = 34,428,908,531.97
  5. Step 5: Solve for x
    x = 34,428,908,531.97/212,753.54
  6. Step 6: Final answer
    x = 161,825.31

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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.