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Finding the Fourth Proportional to 239,697.84, 330,823.26 and 144,213.42

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Solution

The fourth proportional to 239,697.84, 330,823.26 and 144,213.42 is: 199,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,697.84 : 330,823.26 = 144,213.42 : x
  2. Step 2: Convert to fraction form
    239,697.84/330,823.26 = 144,213.42/x
  3. Step 3: Cross multiply
    239,697.84x = 330,823.26 × 144,213.42
  4. Step 4: Simplify right side
    239,697.84x = 47,709,153,740.15
  5. Step 5: Solve for x
    x = 47,709,153,740.15/239,697.84
  6. Step 6: Final answer
    x = 199,038.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.