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Finding the Fourth Proportional to 150,605.80, 225,835.74 and 45,405.16

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Solution

The fourth proportional to 150,605.80, 225,835.74 and 45,405.16 is: 68,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,605.80 : 225,835.74 = 45,405.16 : x
  2. Step 2: Convert to fraction form
    150,605.80/225,835.74 = 45,405.16/x
  3. Step 3: Cross multiply
    150,605.80x = 225,835.74 × 45,405.16
  4. Step 4: Simplify right side
    150,605.80x = 10,254,107,908.42
  5. Step 5: Solve for x
    x = 10,254,107,908.42/150,605.80
  6. Step 6: Final answer
    x = 68,085.74

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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.