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Finding the Fourth Proportional to 106,422.71, 159,672.23 and 45,607.46

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Solution

The fourth proportional to 106,422.71, 159,672.23 and 45,607.46 is: 68,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422.71 : 159,672.23 = 45,607.46 : x
  2. Step 2: Convert to fraction form
    106,422.71/159,672.23 = 45,607.46/x
  3. Step 3: Cross multiply
    106,422.71x = 159,672.23 × 45,607.46
  4. Step 4: Simplify right side
    106,422.71x = 7,282,244,842.84
  5. Step 5: Solve for x
    x = 7,282,244,842.84/106,422.71
  6. Step 6: Final answer
    x = 68,427.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.