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Finding the Fourth Proportional to 217,042.34, 299,518.43 and 120,252.47

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Solution

The fourth proportional to 217,042.34, 299,518.43 and 120,252.47 is: 165,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.34 : 299,518.43 = 120,252.47 : x
  2. Step 2: Convert to fraction form
    217,042.34/299,518.43 = 120,252.47/x
  3. Step 3: Cross multiply
    217,042.34x = 299,518.43 × 120,252.47
  4. Step 4: Simplify right side
    217,042.34x = 36,017,828,919.17
  5. Step 5: Solve for x
    x = 36,017,828,919.17/217,042.34
  6. Step 6: Final answer
    x = 165,948.40

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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.