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Finding the Fourth Proportional to 146,677.70, 202,410.09 and 83,014.13

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Solution

The fourth proportional to 146,677.70, 202,410.09 and 83,014.13 is: 114,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,677.70 : 202,410.09 = 83,014.13 : x
  2. Step 2: Convert to fraction form
    146,677.70/202,410.09 = 83,014.13/x
  3. Step 3: Cross multiply
    146,677.70x = 202,410.09 × 83,014.13
  4. Step 4: Simplify right side
    146,677.70x = 16,802,898,030.60
  5. Step 5: Solve for x
    x = 16,802,898,030.60/146,677.70
  6. Step 6: Final answer
    x = 114,556.59

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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.