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Finding the Fourth Proportional to 212,251.88, 292,896.06 and 116,743.16

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Solution

The fourth proportional to 212,251.88, 292,896.06 and 116,743.16 is: 161,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,251.88 : 292,896.06 = 116,743.16 : x
  2. Step 2: Convert to fraction form
    212,251.88/292,896.06 = 116,743.16/x
  3. Step 3: Cross multiply
    212,251.88x = 292,896.06 × 116,743.16
  4. Step 4: Simplify right side
    212,251.88x = 34,193,611,595.95
  5. Step 5: Solve for x
    x = 34,193,611,595.95/212,251.88
  6. Step 6: Final answer
    x = 161,099.22

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1.5x scale

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.