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Finding the Fourth Proportional to 194,447.97, 291,647.35 and 76,202.35

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Solution

The fourth proportional to 194,447.97, 291,647.35 and 76,202.35 is: 114,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,447.97 : 291,647.35 = 76,202.35 : x
  2. Step 2: Convert to fraction form
    194,447.97/291,647.35 = 76,202.35/x
  3. Step 3: Cross multiply
    194,447.97x = 291,647.35 × 76,202.35
  4. Step 4: Simplify right side
    194,447.97x = 22,224,211,602.02
  5. Step 5: Solve for x
    x = 22,224,211,602.02/194,447.97
  6. Step 6: Final answer
    x = 114,293.87

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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.