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Finding the Fourth Proportional to 217,032.39, 299,497.74 and 120,232.28

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Solution

The fourth proportional to 217,032.39, 299,497.74 and 120,232.28 is: 165,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032.39 : 299,497.74 = 120,232.28 : x
  2. Step 2: Convert to fraction form
    217,032.39/299,497.74 = 120,232.28/x
  3. Step 3: Cross multiply
    217,032.39x = 299,497.74 × 120,232.28
  4. Step 4: Simplify right side
    217,032.39x = 36,009,294,637.56
  5. Step 5: Solve for x
    x = 36,009,294,637.56/217,032.39
  6. Step 6: Final answer
    x = 165,916.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.