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Finding the Fourth Proportional to 78,043.20, 117,064.80 and 76,876.80

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Solution

The fourth proportional to 78,043.20, 117,064.80 and 76,876.80 is: 115,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043.20 : 117,064.80 = 76,876.80 : x
  2. Step 2: Convert to fraction form
    78,043.20/117,064.80 = 76,876.80/x
  3. Step 3: Cross multiply
    78,043.20x = 117,064.80 × 76,876.80
  4. Step 4: Simplify right side
    78,043.20x = 8,999,567,216.64
  5. Step 5: Solve for x
    x = 8,999,567,216.64/78,043.20
  6. Step 6: Final answer
    x = 115,315.20

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1.5x scale

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.