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Finding the Fourth Proportional to 123,414.63, 170,313.40 and 66,827.22

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Solution

The fourth proportional to 123,414.63, 170,313.40 and 66,827.22 is: 92,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.63 : 170,313.40 = 66,827.22 : x
  2. Step 2: Convert to fraction form
    123,414.63/170,313.40 = 66,827.22/x
  3. Step 3: Cross multiply
    123,414.63x = 170,313.40 × 66,827.22
  4. Step 4: Simplify right side
    123,414.63x = 11,381,571,050.75
  5. Step 5: Solve for x
    x = 11,381,571,050.75/123,414.63
  6. Step 6: Final answer
    x = 92,222.22

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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.