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Finding the Fourth Proportional to 292,073.70, 403,054.26 and 164,739.24

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Solution

The fourth proportional to 292,073.70, 403,054.26 and 164,739.24 is: 227,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,073.70 : 403,054.26 = 164,739.24 : x
  2. Step 2: Convert to fraction form
    292,073.70/403,054.26 = 164,739.24/x
  3. Step 3: Cross multiply
    292,073.70x = 403,054.26 × 164,739.24
  4. Step 4: Simplify right side
    292,073.70x = 66,398,852,471.16
  5. Step 5: Solve for x
    x = 66,398,852,471.16/292,073.70
  6. Step 6: Final answer
    x = 227,335.95

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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.