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Finding the Fourth Proportional to 232,397.01, 320,110.38 and 164,296.80

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Solution

The fourth proportional to 232,397.01, 320,110.38 and 164,296.80 is: 226,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,397.01 : 320,110.38 = 164,296.80 : x
  2. Step 2: Convert to fraction form
    232,397.01/320,110.38 = 164,296.80/x
  3. Step 3: Cross multiply
    232,397.01x = 320,110.38 × 164,296.80
  4. Step 4: Simplify right side
    232,397.01x = 52,593,111,080.78
  5. Step 5: Solve for x
    x = 52,593,111,080.78/232,397.01
  6. Step 6: Final answer
    x = 226,307.18

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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.