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Finding the Fourth Proportional to 197,997.89, 295,909.13 and 144,801.95

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Solution

The fourth proportional to 197,997.89, 295,909.13 and 144,801.95 is: 216,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,997.89 : 295,909.13 = 144,801.95 : x
  2. Step 2: Convert to fraction form
    197,997.89/295,909.13 = 144,801.95/x
  3. Step 3: Cross multiply
    197,997.89x = 295,909.13 × 144,801.95
  4. Step 4: Simplify right side
    197,997.89x = 42,848,217,929.26
  5. Step 5: Solve for x
    x = 42,848,217,929.26/197,997.89
  6. Step 6: Final answer
    x = 216,407.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.