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Finding the Fourth Proportional to 194,788.80, 292,122.45 and 76,496.40

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Solution

The fourth proportional to 194,788.80, 292,122.45 and 76,496.40 is: 114,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,788.80 : 292,122.45 = 76,496.40 : x
  2. Step 2: Convert to fraction form
    194,788.80/292,122.45 = 76,496.40/x
  3. Step 3: Cross multiply
    194,788.80x = 292,122.45 × 76,496.40
  4. Step 4: Simplify right side
    194,788.80x = 22,346,315,784.18
  5. Step 5: Solve for x
    x = 22,346,315,784.18/194,788.80
  6. Step 6: Final answer
    x = 114,720.74

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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.