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Finding the Fourth Proportional to 253,712.68, 349,954.70 and 163,183.16

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Solution

The fourth proportional to 253,712.68, 349,954.70 and 163,183.16 is: 225,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,712.68 : 349,954.70 = 163,183.16 : x
  2. Step 2: Convert to fraction form
    253,712.68/349,954.70 = 163,183.16/x
  3. Step 3: Cross multiply
    253,712.68x = 349,954.70 × 163,183.16
  4. Step 4: Simplify right side
    253,712.68x = 57,106,713,802.85
  5. Step 5: Solve for x
    x = 57,106,713,802.85/253,712.68
  6. Step 6: Final answer
    x = 225,084.19

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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.