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Finding the Fourth Proportional to 270,559.85, 405,451.58 and 151,981.62

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Solution

The fourth proportional to 270,559.85, 405,451.58 and 151,981.62 is: 227,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,559.85 : 405,451.58 = 151,981.62 : x
  2. Step 2: Convert to fraction form
    270,559.85/405,451.58 = 151,981.62/x
  3. Step 3: Cross multiply
    270,559.85x = 405,451.58 × 151,981.62
  4. Step 4: Simplify right side
    270,559.85x = 61,621,185,679.61
  5. Step 5: Solve for x
    x = 61,621,185,679.61/270,559.85
  6. Step 6: Final answer
    x = 227,754.36

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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.