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Finding the Fourth Proportional to 150,578, 225,871.68 and 55,831.76

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Solution

The fourth proportional to 150,578, 225,871.68 and 55,831.76 is: 83,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,578 : 225,871.68 = 55,831.76 : x
  2. Step 2: Convert to fraction form
    150,578/225,871.68 = 55,831.76/x
  3. Step 3: Cross multiply
    150,578x = 225,871.68 × 55,831.76
  4. Step 4: Simplify right side
    150,578x = 12,610,813,428.56
  5. Step 5: Solve for x
    x = 12,610,813,428.56/150,578
  6. Step 6: Final answer
    x = 83,749.38

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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.