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Finding the Fourth Proportional to 102,059.68, 140,796.48 and 59,593

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Solution

The fourth proportional to 102,059.68, 140,796.48 and 59,593 is: 82,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.68 : 140,796.48 = 59,593 : x
  2. Step 2: Convert to fraction form
    102,059.68/140,796.48 = 59,593/x
  3. Step 3: Cross multiply
    102,059.68x = 140,796.48 × 59,593
  4. Step 4: Simplify right side
    102,059.68x = 8,390,484,632.64
  5. Step 5: Solve for x
    x = 8,390,484,632.64/102,059.68
  6. Step 6: Final answer
    x = 82,211.55

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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.