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Finding the Fourth Proportional to 160,823.89, 221,918.56 and 92,840.59

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Solution

The fourth proportional to 160,823.89, 221,918.56 and 92,840.59 is: 128,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,823.89 : 221,918.56 = 92,840.59 : x
  2. Step 2: Convert to fraction form
    160,823.89/221,918.56 = 92,840.59/x
  3. Step 3: Cross multiply
    160,823.89x = 221,918.56 × 92,840.59
  4. Step 4: Simplify right side
    160,823.89x = 20,603,050,042.35
  5. Step 5: Solve for x
    x = 20,603,050,042.35/160,823.89
  6. Step 6: Final answer
    x = 128,109.39

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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.