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Finding the Fourth Proportional to 216,940, 325,074.32 and 150,509.28

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Solution

The fourth proportional to 216,940, 325,074.32 and 150,509.28 is: 225,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,940 : 325,074.32 = 150,509.28 : x
  2. Step 2: Convert to fraction form
    216,940/325,074.32 = 150,509.28/x
  3. Step 3: Cross multiply
    216,940x = 325,074.32 × 150,509.28
  4. Step 4: Simplify right side
    216,940x = 48,926,701,849.69
  5. Step 5: Solve for x
    x = 48,926,701,849.69/216,940
  6. Step 6: Final answer
    x = 225,531.03

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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.