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Finding the Fourth Proportional to 293,886.72, 405,568.49 and 166,559.58

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Solution

The fourth proportional to 293,886.72, 405,568.49 and 166,559.58 is: 229,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,886.72 : 405,568.49 = 166,559.58 : x
  2. Step 2: Convert to fraction form
    293,886.72/405,568.49 = 166,559.58/x
  3. Step 3: Cross multiply
    293,886.72x = 405,568.49 × 166,559.58
  4. Step 4: Simplify right side
    293,886.72x = 67,551,316,522.84
  5. Step 5: Solve for x
    x = 67,551,316,522.84/293,886.72
  6. Step 6: Final answer
    x = 229,854.95

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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.