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Finding the Fourth Proportional to 357,184.44, 535,940.73 and 154,842.30

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Solution

The fourth proportional to 357,184.44, 535,940.73 and 154,842.30 is: 232,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,184.44 : 535,940.73 = 154,842.30 : x
  2. Step 2: Convert to fraction form
    357,184.44/535,940.73 = 154,842.30/x
  3. Step 3: Cross multiply
    357,184.44x = 535,940.73 × 154,842.30
  4. Step 4: Simplify right side
    357,184.44x = 82,986,295,296.88
  5. Step 5: Solve for x
    x = 82,986,295,296.88/357,184.44
  6. Step 6: Final answer
    x = 232,334.58

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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.