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Finding the Fourth Proportional to 217,102.84, 299,704.53 and 145,529.62

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Solution

The fourth proportional to 217,102.84, 299,704.53 and 145,529.62 is: 200,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,102.84 : 299,704.53 = 145,529.62 : x
  2. Step 2: Convert to fraction form
    217,102.84/299,704.53 = 145,529.62/x
  3. Step 3: Cross multiply
    217,102.84x = 299,704.53 × 145,529.62
  4. Step 4: Simplify right side
    217,102.84x = 43,615,886,363.18
  5. Step 5: Solve for x
    x = 43,615,886,363.18/217,102.84
  6. Step 6: Final answer
    x = 200,899.66

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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.