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Finding the Fourth Proportional to 299,695.16, 413,572.29 and 163,729.82

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Solution

The fourth proportional to 299,695.16, 413,572.29 and 163,729.82 is: 225,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,695.16 : 413,572.29 = 163,729.82 : x
  2. Step 2: Convert to fraction form
    299,695.16/413,572.29 = 163,729.82/x
  3. Step 3: Cross multiply
    299,695.16x = 413,572.29 × 163,729.82
  4. Step 4: Simplify right side
    299,695.16x = 67,714,116,598.69
  5. Step 5: Solve for x
    x = 67,714,116,598.69/299,695.16
  6. Step 6: Final answer
    x = 225,943.31

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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.