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Finding the Fourth Proportional to 117,903.90, 176,928.76 and 47,783.82

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Solution

The fourth proportional to 117,903.90, 176,928.76 and 47,783.82 is: 71,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,903.90 : 176,928.76 = 47,783.82 : x
  2. Step 2: Convert to fraction form
    117,903.90/176,928.76 = 47,783.82/x
  3. Step 3: Cross multiply
    117,903.90x = 176,928.76 × 47,783.82
  4. Step 4: Simplify right side
    117,903.90x = 8,454,332,020.66
  5. Step 5: Solve for x
    x = 8,454,332,020.66/117,903.90
  6. Step 6: Final answer
    x = 71,705.28

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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.