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Finding the Fourth Proportional to 217,088.96, 299,582.74 and 132,206

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Solution

The fourth proportional to 217,088.96, 299,582.74 and 132,206 is: 182,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,088.96 : 299,582.74 = 132,206 : x
  2. Step 2: Convert to fraction form
    217,088.96/299,582.74 = 132,206/x
  3. Step 3: Cross multiply
    217,088.96x = 299,582.74 × 132,206
  4. Step 4: Simplify right side
    217,088.96x = 39,606,635,724.44
  5. Step 5: Solve for x
    x = 39,606,635,724.44/217,088.96
  6. Step 6: Final answer
    x = 182,444.26

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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.