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Finding the Fourth Proportional to 296,102.66, 408,512.03 and 194,184.68

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Solution

The fourth proportional to 296,102.66, 408,512.03 and 194,184.68 is: 267,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,102.66 : 408,512.03 = 194,184.68 : x
  2. Step 2: Convert to fraction form
    296,102.66/408,512.03 = 194,184.68/x
  3. Step 3: Cross multiply
    296,102.66x = 408,512.03 × 194,184.68
  4. Step 4: Simplify right side
    296,102.66x = 79,326,774,808.22
  5. Step 5: Solve for x
    x = 79,326,774,808.22/296,102.66
  6. Step 6: Final answer
    x = 267,902.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.