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Finding the Fourth Proportional to 146,668.80, 202,406.16 and 83,006.64

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Solution

The fourth proportional to 146,668.80, 202,406.16 and 83,006.64 is: 114,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,668.80 : 202,406.16 = 83,006.64 : x
  2. Step 2: Convert to fraction form
    146,668.80/202,406.16 = 83,006.64/x
  3. Step 3: Cross multiply
    146,668.80x = 202,406.16 × 83,006.64
  4. Step 4: Simplify right side
    146,668.80x = 16,801,055,256.90
  5. Step 5: Solve for x
    x = 16,801,055,256.90/146,668.80
  6. Step 6: Final answer
    x = 114,550.98

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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.