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Finding the Fourth Proportional to 177,888.20, 245,558.76 and 120,605.98

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Solution

The fourth proportional to 177,888.20, 245,558.76 and 120,605.98 is: 166,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,888.20 : 245,558.76 = 120,605.98 : x
  2. Step 2: Convert to fraction form
    177,888.20/245,558.76 = 120,605.98/x
  3. Step 3: Cross multiply
    177,888.20x = 245,558.76 × 120,605.98
  4. Step 4: Simplify right side
    177,888.20x = 29,615,854,897.38
  5. Step 5: Solve for x
    x = 29,615,854,897.38/177,888.20
  6. Step 6: Final answer
    x = 166,485.78

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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.