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Finding the Fourth Proportional to 197,602.65, 272,696.97 and 120,051.90

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Solution

The fourth proportional to 197,602.65, 272,696.97 and 120,051.90 is: 165,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,602.65 : 272,696.97 = 120,051.90 : x
  2. Step 2: Convert to fraction form
    197,602.65/272,696.97 = 120,051.90/x
  3. Step 3: Cross multiply
    197,602.65x = 272,696.97 × 120,051.90
  4. Step 4: Simplify right side
    197,602.65x = 32,737,789,372.74
  5. Step 5: Solve for x
    x = 32,737,789,372.74/197,602.65
  6. Step 6: Final answer
    x = 165,674.85

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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.