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Finding the Fourth Proportional to 194,085, 291,127.64 and 53,843.76

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Solution

The fourth proportional to 194,085, 291,127.64 and 53,843.76 is: 80,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,085 : 291,127.64 = 53,843.76 : x
  2. Step 2: Convert to fraction form
    194,085/291,127.64 = 53,843.76/x
  3. Step 3: Cross multiply
    194,085x = 291,127.64 × 53,843.76
  4. Step 4: Simplify right side
    194,085x = 15,675,406,777.53
  5. Step 5: Solve for x
    x = 15,675,406,777.53/194,085
  6. Step 6: Final answer
    x = 80,765.68

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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.