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Finding the Fourth Proportional to 289,033.80, 433,356.30 and 154,120.20

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Solution

The fourth proportional to 289,033.80, 433,356.30 and 154,120.20 is: 231,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,033.80 : 433,356.30 = 154,120.20 : x
  2. Step 2: Convert to fraction form
    289,033.80/433,356.30 = 154,120.20/x
  3. Step 3: Cross multiply
    289,033.80x = 433,356.30 × 154,120.20
  4. Step 4: Simplify right side
    289,033.80x = 66,788,959,627.26
  5. Step 5: Solve for x
    x = 66,788,959,627.26/289,033.80
  6. Step 6: Final answer
    x = 231,076.64

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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.