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Finding the Fourth Proportional to 150,783.94, 225,831.43 and 71,953.53

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Solution

The fourth proportional to 150,783.94, 225,831.43 and 71,953.53 is: 107,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,783.94 : 225,831.43 = 71,953.53 : x
  2. Step 2: Convert to fraction form
    150,783.94/225,831.43 = 71,953.53/x
  3. Step 3: Cross multiply
    150,783.94x = 225,831.43 × 71,953.53
  4. Step 4: Simplify right side
    150,783.94x = 16,249,368,573.45
  5. Step 5: Solve for x
    x = 16,249,368,573.45/150,783.94
  6. Step 6: Final answer
    x = 107,765.91

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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.