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Finding the Fourth Proportional to 203,897.82, 305,973.02 and 118,548.84

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Solution

The fourth proportional to 203,897.82, 305,973.02 and 118,548.84 is: 177,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,897.82 : 305,973.02 = 118,548.84 : x
  2. Step 2: Convert to fraction form
    203,897.82/305,973.02 = 118,548.84/x
  3. Step 3: Cross multiply
    203,897.82x = 305,973.02 × 118,548.84
  4. Step 4: Simplify right side
    203,897.82x = 36,272,746,592.30
  5. Step 5: Solve for x
    x = 36,272,746,592.30/203,897.82
  6. Step 6: Final answer
    x = 177,896.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.