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Finding the Fourth Proportional to 77,818.44, 107,823.16 and 76,136.88

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Solution

The fourth proportional to 77,818.44, 107,823.16 and 76,136.88 is: 105,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,818.44 : 107,823.16 = 76,136.88 : x
  2. Step 2: Convert to fraction form
    77,818.44/107,823.16 = 76,136.88/x
  3. Step 3: Cross multiply
    77,818.44x = 107,823.16 × 76,136.88
  4. Step 4: Simplify right side
    77,818.44x = 8,209,318,994.14
  5. Step 5: Solve for x
    x = 8,209,318,994.14/77,818.44
  6. Step 6: Final answer
    x = 105,493.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.