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Finding the Fourth Proportional to 287,351.80, 431,027.70 and 109,864.60

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Solution

The fourth proportional to 287,351.80, 431,027.70 and 109,864.60 is: 164,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,351.80 : 431,027.70 = 109,864.60 : x
  2. Step 2: Convert to fraction form
    287,351.80/431,027.70 = 109,864.60/x
  3. Step 3: Cross multiply
    287,351.80x = 431,027.70 × 109,864.60
  4. Step 4: Simplify right side
    287,351.80x = 47,354,685,849.42
  5. Step 5: Solve for x
    x = 47,354,685,849.42/287,351.80
  6. Step 6: Final answer
    x = 164,796.90

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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.