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Finding the Fourth Proportional to 322,107.52, 483,199.68 and 155,776

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Solution

The fourth proportional to 322,107.52, 483,199.68 and 155,776 is: 233,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,107.52 : 483,199.68 = 155,776 : x
  2. Step 2: Convert to fraction form
    322,107.52/483,199.68 = 155,776/x
  3. Step 3: Cross multiply
    322,107.52x = 483,199.68 × 155,776
  4. Step 4: Simplify right side
    322,107.52x = 75,270,913,351.68
  5. Step 5: Solve for x
    x = 75,270,913,351.68/322,107.52
  6. Step 6: Final answer
    x = 233,682.57

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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.