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Finding the Fourth Proportional to 217,229.07, 299,690.59 and 135,509.77

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Solution

The fourth proportional to 217,229.07, 299,690.59 and 135,509.77 is: 186,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,229.07 : 299,690.59 = 135,509.77 : x
  2. Step 2: Convert to fraction form
    217,229.07/299,690.59 = 135,509.77/x
  3. Step 3: Cross multiply
    217,229.07x = 299,690.59 × 135,509.77
  4. Step 4: Simplify right side
    217,229.07x = 40,611,001,832.22
  5. Step 5: Solve for x
    x = 40,611,001,832.22/217,229.07
  6. Step 6: Final answer
    x = 186,950.12

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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.