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Finding the Fourth Proportional to 106,713.54, 147,257.34 and 58,966.44

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Solution

The fourth proportional to 106,713.54, 147,257.34 and 58,966.44 is: 81,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713.54 : 147,257.34 = 58,966.44 : x
  2. Step 2: Convert to fraction form
    106,713.54/147,257.34 = 58,966.44/x
  3. Step 3: Cross multiply
    106,713.54x = 147,257.34 × 58,966.44
  4. Step 4: Simplify right side
    106,713.54x = 8,683,241,103.67
  5. Step 5: Solve for x
    x = 8,683,241,103.67/106,713.54
  6. Step 6: Final answer
    x = 81,369.63

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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.