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Finding the Fourth Proportional to 150,733.42, 225,804.54 and 87,420.54

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Solution

The fourth proportional to 150,733.42, 225,804.54 and 87,420.54 is: 130,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,733.42 : 225,804.54 = 87,420.54 : x
  2. Step 2: Convert to fraction form
    150,733.42/225,804.54 = 87,420.54/x
  3. Step 3: Cross multiply
    150,733.42x = 225,804.54 × 87,420.54
  4. Step 4: Simplify right side
    150,733.42x = 19,739,953,255.13
  5. Step 5: Solve for x
    x = 19,739,953,255.13/150,733.42
  6. Step 6: Final answer
    x = 130,959.37

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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.