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Finding the Fourth Proportional to 242,147.52, 363,493.44 and 102,024

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Solution

The fourth proportional to 242,147.52, 363,493.44 and 102,024 is: 153,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,147.52 : 363,493.44 = 102,024 : x
  2. Step 2: Convert to fraction form
    242,147.52/363,493.44 = 102,024/x
  3. Step 3: Cross multiply
    242,147.52x = 363,493.44 × 102,024
  4. Step 4: Simplify right side
    242,147.52x = 37,085,054,722.56
  5. Step 5: Solve for x
    x = 37,085,054,722.56/242,147.52
  6. Step 6: Final answer
    x = 153,150.67

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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.