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Finding the Fourth Proportional to 177,406.66, 266,147.52 and 51,045.58

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Solution

The fourth proportional to 177,406.66, 266,147.52 and 51,045.58 is: 76,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,406.66 : 266,147.52 = 51,045.58 : x
  2. Step 2: Convert to fraction form
    177,406.66/266,147.52 = 51,045.58/x
  3. Step 3: Cross multiply
    177,406.66x = 266,147.52 × 51,045.58
  4. Step 4: Simplify right side
    177,406.66x = 13,585,654,523.96
  5. Step 5: Solve for x
    x = 13,585,654,523.96/177,406.66
  6. Step 6: Final answer
    x = 76,579.17

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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.