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Finding the Fourth Proportional to 78,557.78, 118,033.50 and 73,833.86

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Solution

The fourth proportional to 78,557.78, 118,033.50 and 73,833.86 is: 110,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,557.78 : 118,033.50 = 73,833.86 : x
  2. Step 2: Convert to fraction form
    78,557.78/118,033.50 = 73,833.86/x
  3. Step 3: Cross multiply
    78,557.78x = 118,033.50 × 73,833.86
  4. Step 4: Simplify right side
    78,557.78x = 8,714,868,914.31
  5. Step 5: Solve for x
    x = 8,714,868,914.31/78,557.78
  6. Step 6: Final answer
    x = 110,935.78

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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.