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Finding the Fourth Proportional to 269,398.95, 371,860.64 and 160,537.43

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Solution

The fourth proportional to 269,398.95, 371,860.64 and 160,537.43 is: 221,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,398.95 : 371,860.64 = 160,537.43 : x
  2. Step 2: Convert to fraction form
    269,398.95/371,860.64 = 160,537.43/x
  3. Step 3: Cross multiply
    269,398.95x = 371,860.64 × 160,537.43
  4. Step 4: Simplify right side
    269,398.95x = 59,697,548,801.76
  5. Step 5: Solve for x
    x = 59,697,548,801.76/269,398.95
  6. Step 6: Final answer
    x = 221,595.33

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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.