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Finding the Fourth Proportional to 160,193.63, 221,058.37 and 88,569.38

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Solution

The fourth proportional to 160,193.63, 221,058.37 and 88,569.38 is: 122,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,193.63 : 221,058.37 = 88,569.38 : x
  2. Step 2: Convert to fraction form
    160,193.63/221,058.37 = 88,569.38/x
  3. Step 3: Cross multiply
    160,193.63x = 221,058.37 × 88,569.38
  4. Step 4: Simplify right side
    160,193.63x = 19,579,002,774.71
  5. Step 5: Solve for x
    x = 19,579,002,774.71/160,193.63
  6. Step 6: Final answer
    x = 122,220.86

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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.