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Finding the Fourth Proportional to 117,883.94, 176,761.28 and 46,734.50

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Solution

The fourth proportional to 117,883.94, 176,761.28 and 46,734.50 is: 70,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,883.94 : 176,761.28 = 46,734.50 : x
  2. Step 2: Convert to fraction form
    117,883.94/176,761.28 = 46,734.50/x
  3. Step 3: Cross multiply
    117,883.94x = 176,761.28 × 46,734.50
  4. Step 4: Simplify right side
    117,883.94x = 8,260,850,040.16
  5. Step 5: Solve for x
    x = 8,260,850,040.16/117,883.94
  6. Step 6: Final answer
    x = 70,076.13

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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.