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Finding the Fourth Proportional to 285,009.80, 427,514.70 and 109,905.80

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Solution

The fourth proportional to 285,009.80, 427,514.70 and 109,905.80 is: 164,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,009.80 : 427,514.70 = 109,905.80 : x
  2. Step 2: Convert to fraction form
    285,009.80/427,514.70 = 109,905.80/x
  3. Step 3: Cross multiply
    285,009.80x = 427,514.70 × 109,905.80
  4. Step 4: Simplify right side
    285,009.80x = 46,986,345,115.26
  5. Step 5: Solve for x
    x = 46,986,345,115.26/285,009.80
  6. Step 6: Final answer
    x = 164,858.70

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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.