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Finding the Fourth Proportional to 157,077.50, 235,638.14 and 50,464.67

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Solution

The fourth proportional to 157,077.50, 235,638.14 and 50,464.67 is: 75,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077.50 : 235,638.14 = 50,464.67 : x
  2. Step 2: Convert to fraction form
    157,077.50/235,638.14 = 50,464.67/x
  3. Step 3: Cross multiply
    157,077.50x = 235,638.14 × 50,464.67
  4. Step 4: Simplify right side
    157,077.50x = 11,891,399,544.00
  5. Step 5: Solve for x
    x = 11,891,399,544.00/157,077.50
  6. Step 6: Final answer
    x = 75,704.03

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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.