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Finding the Fourth Proportional to 194,462.25, 291,742.59 and 54,220.88

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Solution

The fourth proportional to 194,462.25, 291,742.59 and 54,220.88 is: 81,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462.25 : 291,742.59 = 54,220.88 : x
  2. Step 2: Convert to fraction form
    194,462.25/291,742.59 = 54,220.88/x
  3. Step 3: Cross multiply
    194,462.25x = 291,742.59 × 54,220.88
  4. Step 4: Simplify right side
    194,462.25x = 15,818,538,504.57
  5. Step 5: Solve for x
    x = 15,818,538,504.57/194,462.25
  6. Step 6: Final answer
    x = 81,345.03

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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.