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Finding the Fourth Proportional to 194,539.95, 291,785.31 and 61,433.66

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Solution

The fourth proportional to 194,539.95, 291,785.31 and 61,433.66 is: 92,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,539.95 : 291,785.31 = 61,433.66 : x
  2. Step 2: Convert to fraction form
    194,539.95/291,785.31 = 61,433.66/x
  3. Step 3: Cross multiply
    194,539.95x = 291,785.31 × 61,433.66
  4. Step 4: Simplify right side
    194,539.95x = 17,925,440,257.00
  5. Step 5: Solve for x
    x = 17,925,440,257.00/194,539.95
  6. Step 6: Final answer
    x = 92,142.72

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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.