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Finding the Fourth Proportional to 160,194.16, 221,058.12 and 88,569.88

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Solution

The fourth proportional to 160,194.16, 221,058.12 and 88,569.88 is: 122,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,194.16 : 221,058.12 = 88,569.88 : x
  2. Step 2: Convert to fraction form
    160,194.16/221,058.12 = 88,569.88/x
  3. Step 3: Cross multiply
    160,194.16x = 221,058.12 × 88,569.88
  4. Step 4: Simplify right side
    160,194.16x = 19,579,091,161.43
  5. Step 5: Solve for x
    x = 19,579,091,161.43/160,194.16
  6. Step 6: Final answer
    x = 122,221.00

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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.