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Finding the Fourth Proportional to 232,347.57, 320,042.21 and 164,247.43

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Solution

The fourth proportional to 232,347.57, 320,042.21 and 164,247.43 is: 226,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,347.57 : 320,042.21 = 164,247.43 : x
  2. Step 2: Convert to fraction form
    232,347.57/320,042.21 = 164,247.43/x
  3. Step 3: Cross multiply
    232,347.57x = 320,042.21 × 164,247.43
  4. Step 4: Simplify right side
    232,347.57x = 52,566,110,484.02
  5. Step 5: Solve for x
    x = 52,566,110,484.02/232,347.57
  6. Step 6: Final answer
    x = 226,239.12

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1.5x scale

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.