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Finding the Fourth Proportional to 133,514.80, 200,133.80 and 83,480.00

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Solution

The fourth proportional to 133,514.80, 200,133.80 and 83,480.00 is: 125,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,514.80 : 200,133.80 = 83,480.00 : x
  2. Step 2: Convert to fraction form
    133,514.80/200,133.80 = 83,480.00/x
  3. Step 3: Cross multiply
    133,514.80x = 200,133.80 × 83,480.00
  4. Step 4: Simplify right side
    133,514.80x = 16,707,170,114.31
  5. Step 5: Solve for x
    x = 16,707,170,114.31/133,514.80
  6. Step 6: Final answer
    x = 125,133.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.