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Finding the Fourth Proportional to 261,183.14, 360,484.42 and 169,416.15

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Solution

The fourth proportional to 261,183.14, 360,484.42 and 169,416.15 is: 233,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,183.14 : 360,484.42 = 169,416.15 : x
  2. Step 2: Convert to fraction form
    261,183.14/360,484.42 = 169,416.15/x
  3. Step 3: Cross multiply
    261,183.14x = 360,484.42 × 169,416.15
  4. Step 4: Simplify right side
    261,183.14x = 61,071,882,571.38
  5. Step 5: Solve for x
    x = 61,071,882,571.38/261,183.14
  6. Step 6: Final answer
    x = 233,827.81

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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.