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Finding the Fourth Proportional to 102,122.70, 140,924.77 and 59,095.36

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Solution

The fourth proportional to 102,122.70, 140,924.77 and 59,095.36 is: 81,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122.70 : 140,924.77 = 59,095.36 : x
  2. Step 2: Convert to fraction form
    102,122.70/140,924.77 = 59,095.36/x
  3. Step 3: Cross multiply
    102,122.70x = 140,924.77 × 59,095.36
  4. Step 4: Simplify right side
    102,122.70x = 8,328,000,016.07
  5. Step 5: Solve for x
    x = 8,328,000,016.07/102,122.70
  6. Step 6: Final answer
    x = 81,548.96

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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.