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Finding the Fourth Proportional to 85,711.76, 118,334.80 and 67,878.80

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Solution

The fourth proportional to 85,711.76, 118,334.80 and 67,878.80 is: 93,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,711.76 : 118,334.80 = 67,878.80 : x
  2. Step 2: Convert to fraction form
    85,711.76/118,334.80 = 67,878.80/x
  3. Step 3: Cross multiply
    85,711.76x = 118,334.80 × 67,878.80
  4. Step 4: Simplify right side
    85,711.76x = 8,032,424,222.24
  5. Step 5: Solve for x
    x = 8,032,424,222.24/85,711.76
  6. Step 6: Final answer
    x = 93,714.38

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Why These Related Problems?

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