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Finding the Fourth Proportional to 287,233.20, 430,849.80 and 109,648.80

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Solution

The fourth proportional to 287,233.20, 430,849.80 and 109,648.80 is: 164,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,233.20 : 430,849.80 = 109,648.80 : x
  2. Step 2: Convert to fraction form
    287,233.20/430,849.80 = 109,648.80/x
  3. Step 3: Cross multiply
    287,233.20x = 430,849.80 × 109,648.80
  4. Step 4: Simplify right side
    287,233.20x = 47,242,163,550.24
  5. Step 5: Solve for x
    x = 47,242,163,550.24/287,233.20
  6. Step 6: Final answer
    x = 164,473.20

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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.