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Finding the Fourth Proportional to 274,860.34, 412,179.79 and 114,831.40

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Solution

The fourth proportional to 274,860.34, 412,179.79 and 114,831.40 is: 172,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,860.34 : 412,179.79 = 114,831.40 : x
  2. Step 2: Convert to fraction form
    274,860.34/412,179.79 = 114,831.40/x
  3. Step 3: Cross multiply
    274,860.34x = 412,179.79 × 114,831.40
  4. Step 4: Simplify right side
    274,860.34x = 47,331,180,848.77
  5. Step 5: Solve for x
    x = 47,331,180,848.77/274,860.34
  6. Step 6: Final answer
    x = 172,200.84

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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.