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Finding the Fourth Proportional to 217,045.44, 299,523.96 and 120,252.35

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Solution

The fourth proportional to 217,045.44, 299,523.96 and 120,252.35 is: 165,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,045.44 : 299,523.96 = 120,252.35 : x
  2. Step 2: Convert to fraction form
    217,045.44/299,523.96 = 120,252.35/x
  3. Step 3: Cross multiply
    217,045.44x = 299,523.96 × 120,252.35
  4. Step 4: Simplify right side
    217,045.44x = 36,018,460,071.31
  5. Step 5: Solve for x
    x = 36,018,460,071.31/217,045.44
  6. Step 6: Final answer
    x = 165,948.94

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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.