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Finding the Fourth Proportional to 232,296.93, 320,530.91 and 136,822.64

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Solution

The fourth proportional to 232,296.93, 320,530.91 and 136,822.64 is: 188,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,296.93 : 320,530.91 = 136,822.64 : x
  2. Step 2: Convert to fraction form
    232,296.93/320,530.91 = 136,822.64/x
  3. Step 3: Cross multiply
    232,296.93x = 320,530.91 × 136,822.64
  4. Step 4: Simplify right side
    232,296.93x = 43,855,883,021.03
  5. Step 5: Solve for x
    x = 43,855,883,021.03/232,296.93
  6. Step 6: Final answer
    x = 188,792.35

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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.