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Finding the Fourth Proportional to 84,204.50, 116,202.22 and 46,478.76

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Solution

The fourth proportional to 84,204.50, 116,202.22 and 46,478.76 is: 64,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,204.50 : 116,202.22 = 46,478.76 : x
  2. Step 2: Convert to fraction form
    84,204.50/116,202.22 = 46,478.76/x
  3. Step 3: Cross multiply
    84,204.50x = 116,202.22 × 46,478.76
  4. Step 4: Simplify right side
    84,204.50x = 5,400,935,094.85
  5. Step 5: Solve for x
    x = 5,400,935,094.85/84,204.50
  6. Step 6: Final answer
    x = 64,140.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.