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Finding the Fourth Proportional to 138,197.15, 206,963.52 and 78,852.90

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Solution

The fourth proportional to 138,197.15, 206,963.52 and 78,852.90 is: 118,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.15 : 206,963.52 = 78,852.90 : x
  2. Step 2: Convert to fraction form
    138,197.15/206,963.52 = 78,852.90/x
  3. Step 3: Cross multiply
    138,197.15x = 206,963.52 × 78,852.90
  4. Step 4: Simplify right side
    138,197.15x = 16,319,673,746.21
  5. Step 5: Solve for x
    x = 16,319,673,746.21/138,197.15
  6. Step 6: Final answer
    x = 118,089.80

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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.