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Finding the Fourth Proportional to 294,098.16, 405,855.72 and 159,962.16

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Solution

The fourth proportional to 294,098.16, 405,855.72 and 159,962.16 is: 220,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,098.16 : 405,855.72 = 159,962.16 : x
  2. Step 2: Convert to fraction form
    294,098.16/405,855.72 = 159,962.16/x
  3. Step 3: Cross multiply
    294,098.16x = 405,855.72 × 159,962.16
  4. Step 4: Simplify right side
    294,098.16x = 64,921,557,619.56
  5. Step 5: Solve for x
    x = 64,921,557,619.56/294,098.16
  6. Step 6: Final answer
    x = 220,747.92

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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.