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Finding the Fourth Proportional to 117,880.40, 176,831.40 and 47,745.20

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Solution

The fourth proportional to 117,880.40, 176,831.40 and 47,745.20 is: 71,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,880.40 : 176,831.40 = 47,745.20 : x
  2. Step 2: Convert to fraction form
    117,880.40/176,831.40 = 47,745.20/x
  3. Step 3: Cross multiply
    117,880.40x = 176,831.40 × 47,745.20
  4. Step 4: Simplify right side
    117,880.40x = 8,442,850,559.28
  5. Step 5: Solve for x
    x = 8,442,850,559.28/117,880.40
  6. Step 6: Final answer
    x = 71,622.17

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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.