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Finding the Fourth Proportional to 177,064.66, 265,596.56 and 55,494.50

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Solution

The fourth proportional to 177,064.66, 265,596.56 and 55,494.50 is: 83,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,064.66 : 265,596.56 = 55,494.50 : x
  2. Step 2: Convert to fraction form
    177,064.66/265,596.56 = 55,494.50/x
  3. Step 3: Cross multiply
    177,064.66x = 265,596.56 × 55,494.50
  4. Step 4: Simplify right side
    177,064.66x = 14,739,148,021.45
  5. Step 5: Solve for x
    x = 14,739,148,021.45/177,064.66
  6. Step 6: Final answer
    x = 83,241.62

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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.