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Finding the Fourth Proportional to 157,089.40, 235,623.30 and 50,471.80

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Solution

The fourth proportional to 157,089.40, 235,623.30 and 50,471.80 is: 75,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,089.40 : 235,623.30 = 50,471.80 : x
  2. Step 2: Convert to fraction form
    157,089.40/235,623.30 = 50,471.80/x
  3. Step 3: Cross multiply
    157,089.40x = 235,623.30 × 50,471.80
  4. Step 4: Simplify right side
    157,089.40x = 11,892,332,072.94
  5. Step 5: Solve for x
    x = 11,892,332,072.94/157,089.40
  6. Step 6: Final answer
    x = 75,704.23

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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.