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Finding the Fourth Proportional to 194,544.90, 291,903.12 and 82,302.57

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Solution

The fourth proportional to 194,544.90, 291,903.12 and 82,302.57 is: 123,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544.90 : 291,903.12 = 82,302.57 : x
  2. Step 2: Convert to fraction form
    194,544.90/291,903.12 = 82,302.57/x
  3. Step 3: Cross multiply
    194,544.90x = 291,903.12 × 82,302.57
  4. Step 4: Simplify right side
    194,544.90x = 24,024,376,967.02
  5. Step 5: Solve for x
    x = 24,024,376,967.02/194,544.90
  6. Step 6: Final answer
    x = 123,490.14

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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.