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Finding the Fourth Proportional to 194,254.67, 291,421.53 and 81,935.30

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Solution

The fourth proportional to 194,254.67, 291,421.53 and 81,935.30 is: 122,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,254.67 : 291,421.53 = 81,935.30 : x
  2. Step 2: Convert to fraction form
    194,254.67/291,421.53 = 81,935.30/x
  3. Step 3: Cross multiply
    194,254.67x = 291,421.53 × 81,935.30
  4. Step 4: Simplify right side
    194,254.67x = 23,877,709,576.32
  5. Step 5: Solve for x
    x = 23,877,709,576.32/194,254.67
  6. Step 6: Final answer
    x = 122,919.62

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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.