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Finding the Fourth Proportional to 217,115.84, 299,451.36 and 145,472.96

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Solution

The fourth proportional to 217,115.84, 299,451.36 and 145,472.96 is: 200,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,115.84 : 299,451.36 = 145,472.96 : x
  2. Step 2: Convert to fraction form
    217,115.84/299,451.36 = 145,472.96/x
  3. Step 3: Cross multiply
    217,115.84x = 299,451.36 × 145,472.96
  4. Step 4: Simplify right side
    217,115.84x = 43,562,075,715.23
  5. Step 5: Solve for x
    x = 43,562,075,715.23/217,115.84
  6. Step 6: Final answer
    x = 200,639.79

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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.