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Finding the Fourth Proportional to 234,727.16, 323,914.74 and 139,176.68

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Solution

The fourth proportional to 234,727.16, 323,914.74 and 139,176.68 is: 192,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,727.16 : 323,914.74 = 139,176.68 : x
  2. Step 2: Convert to fraction form
    234,727.16/323,914.74 = 139,176.68/x
  3. Step 3: Cross multiply
    234,727.16x = 323,914.74 × 139,176.68
  4. Step 4: Simplify right side
    234,727.16x = 45,081,378,116.26
  5. Step 5: Solve for x
    x = 45,081,378,116.26/234,727.16
  6. Step 6: Final answer
    x = 192,058.64

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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.