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Finding the Fourth Proportional to 194,987.74, 292,294.76 and 82,513.24

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Solution

The fourth proportional to 194,987.74, 292,294.76 and 82,513.24 is: 123,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,987.74 : 292,294.76 = 82,513.24 : x
  2. Step 2: Convert to fraction form
    194,987.74/292,294.76 = 82,513.24/x
  3. Step 3: Cross multiply
    194,987.74x = 292,294.76 × 82,513.24
  4. Step 4: Simplify right side
    194,987.74x = 24,118,186,427.43
  5. Step 5: Solve for x
    x = 24,118,186,427.43/194,987.74
  6. Step 6: Final answer
    x = 123,690.78

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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.