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Finding the Fourth Proportional to 309,012.19, 463,521.17 and 109,366.43

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Solution

The fourth proportional to 309,012.19, 463,521.17 and 109,366.43 is: 164,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,012.19 : 463,521.17 = 109,366.43 : x
  2. Step 2: Convert to fraction form
    309,012.19/463,521.17 = 109,366.43/x
  3. Step 3: Cross multiply
    309,012.19x = 463,521.17 × 109,366.43
  4. Step 4: Simplify right side
    309,012.19x = 50,693,653,548.13
  5. Step 5: Solve for x
    x = 50,693,653,548.13/309,012.19
  6. Step 6: Final answer
    x = 164,050.66

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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.