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Finding the Fourth Proportional to 102,099.94, 140,877.27 and 59,650.27

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Solution

The fourth proportional to 102,099.94, 140,877.27 and 59,650.27 is: 82,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.94 : 140,877.27 = 59,650.27 : x
  2. Step 2: Convert to fraction form
    102,099.94/140,877.27 = 59,650.27/x
  3. Step 3: Cross multiply
    102,099.94x = 140,877.27 × 59,650.27
  4. Step 4: Simplify right side
    102,099.94x = 8,403,367,192.36
  5. Step 5: Solve for x
    x = 8,403,367,192.36/102,099.94
  6. Step 6: Final answer
    x = 82,305.31

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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.