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Finding the Fourth Proportional to 243,422.25, 364,815.27 and 176,180.69

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Solution

The fourth proportional to 243,422.25, 364,815.27 and 176,180.69 is: 264,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,422.25 : 364,815.27 = 176,180.69 : x
  2. Step 2: Convert to fraction form
    243,422.25/364,815.27 = 176,180.69/x
  3. Step 3: Cross multiply
    243,422.25x = 364,815.27 × 176,180.69
  4. Step 4: Simplify right side
    243,422.25x = 64,273,405,991.14
  5. Step 5: Solve for x
    x = 64,273,405,991.14/243,422.25
  6. Step 6: Final answer
    x = 264,040.80

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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.