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Finding the Fourth Proportional to 102,099.74, 140,877 and 59,650.07

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Solution

The fourth proportional to 102,099.74, 140,877 and 59,650.07 is: 82,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.74 : 140,877 = 59,650.07 : x
  2. Step 2: Convert to fraction form
    102,099.74/140,877 = 59,650.07/x
  3. Step 3: Cross multiply
    102,099.74x = 140,877 × 59,650.07
  4. Step 4: Simplify right side
    102,099.74x = 8,403,322,911.39
  5. Step 5: Solve for x
    x = 8,403,322,911.39/102,099.74
  6. Step 6: Final answer
    x = 82,305.04

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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.