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Finding the Fourth Proportional to 253,797.91, 350,241.10 and 151,827.65

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Solution

The fourth proportional to 253,797.91, 350,241.10 and 151,827.65 is: 209,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,797.91 : 350,241.10 = 151,827.65 : x
  2. Step 2: Convert to fraction form
    253,797.91/350,241.10 = 151,827.65/x
  3. Step 3: Cross multiply
    253,797.91x = 350,241.10 × 151,827.65
  4. Step 4: Simplify right side
    253,797.91x = 53,176,282,329.04
  5. Step 5: Solve for x
    x = 53,176,282,329.04/253,797.91
  6. Step 6: Final answer
    x = 209,522.15

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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.