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Finding the Fourth Proportional to 137,009.45, 205,514.44 and 52,809.27

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Solution

The fourth proportional to 137,009.45, 205,514.44 and 52,809.27 is: 79,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.45 : 205,514.44 = 52,809.27 : x
  2. Step 2: Convert to fraction form
    137,009.45/205,514.44 = 52,809.27/x
  3. Step 3: Cross multiply
    137,009.45x = 205,514.44 × 52,809.27
  4. Step 4: Simplify right side
    137,009.45x = 10,853,066,796.68
  5. Step 5: Solve for x
    x = 10,853,066,796.68/137,009.45
  6. Step 6: Final answer
    x = 79,214.00

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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.