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Finding the Fourth Proportional to 150,530.08, 225,803.76 and 45,338.08

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Solution

The fourth proportional to 150,530.08, 225,803.76 and 45,338.08 is: 68,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,530.08 : 225,803.76 = 45,338.08 : x
  2. Step 2: Convert to fraction form
    150,530.08/225,803.76 = 45,338.08/x
  3. Step 3: Cross multiply
    150,530.08x = 225,803.76 × 45,338.08
  4. Step 4: Simplify right side
    150,530.08x = 10,237,508,935.18
  5. Step 5: Solve for x
    x = 10,237,508,935.18/150,530.08
  6. Step 6: Final answer
    x = 68,009.72

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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.