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Finding the Fourth Proportional to 509,122.68, 763,722.29 and 154,165.29

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Solution

The fourth proportional to 509,122.68, 763,722.29 and 154,165.29 is: 231,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,122.68 : 763,722.29 = 154,165.29 : x
  2. Step 2: Convert to fraction form
    509,122.68/763,722.29 = 154,165.29/x
  3. Step 3: Cross multiply
    509,122.68x = 763,722.29 × 154,165.29
  4. Step 4: Simplify right side
    509,122.68x = 117,739,468,317.31
  5. Step 5: Solve for x
    x = 117,739,468,317.31/509,122.68
  6. Step 6: Final answer
    x = 231,259.52

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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.