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Finding the Fourth Proportional to 116,479.53, 160,647.84 and 78,227.48

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Solution

The fourth proportional to 116,479.53, 160,647.84 and 78,227.48 is: 107,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,479.53 : 160,647.84 = 78,227.48 : x
  2. Step 2: Convert to fraction form
    116,479.53/160,647.84 = 78,227.48/x
  3. Step 3: Cross multiply
    116,479.53x = 160,647.84 × 78,227.48
  4. Step 4: Simplify right side
    116,479.53x = 12,567,076,092.26
  5. Step 5: Solve for x
    x = 12,567,076,092.26/116,479.53
  6. Step 6: Final answer
    x = 107,890.86

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1.5x scale

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.