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Finding the Fourth Proportional to 164,079.70, 226,324.92 and 103,543.54

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Solution

The fourth proportional to 164,079.70, 226,324.92 and 103,543.54 is: 142,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,079.70 : 226,324.92 = 103,543.54 : x
  2. Step 2: Convert to fraction form
    164,079.70/226,324.92 = 103,543.54/x
  3. Step 3: Cross multiply
    164,079.70x = 226,324.92 × 103,543.54
  4. Step 4: Simplify right side
    164,079.70x = 23,434,483,407.02
  5. Step 5: Solve for x
    x = 23,434,483,407.02/164,079.70
  6. Step 6: Final answer
    x = 142,823.78

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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.