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Finding the Fourth Proportional to 213,094.53, 319,578.21 and 175,561.56

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Solution

The fourth proportional to 213,094.53, 319,578.21 and 175,561.56 is: 263,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,094.53 : 319,578.21 = 175,561.56 : x
  2. Step 2: Convert to fraction form
    213,094.53/319,578.21 = 175,561.56/x
  3. Step 3: Cross multiply
    213,094.53x = 319,578.21 × 175,561.56
  4. Step 4: Simplify right side
    213,094.53x = 56,105,649,089.61
  5. Step 5: Solve for x
    x = 56,105,649,089.61/213,094.53
  6. Step 6: Final answer
    x = 263,289.95

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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.