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Finding the Fourth Proportional to 194,656.50, 292,016.34 and 76,263.66

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Solution

The fourth proportional to 194,656.50, 292,016.34 and 76,263.66 is: 114,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,656.50 : 292,016.34 = 76,263.66 : x
  2. Step 2: Convert to fraction form
    194,656.50/292,016.34 = 76,263.66/x
  3. Step 3: Cross multiply
    194,656.50x = 292,016.34 × 76,263.66
  4. Step 4: Simplify right side
    194,656.50x = 22,270,234,868.20
  5. Step 5: Solve for x
    x = 22,270,234,868.20/194,656.50
  6. Step 6: Final answer
    x = 114,407.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.