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Finding the Fourth Proportional to 158,462, 237,529.20 and 53,245.52

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Solution

The fourth proportional to 158,462, 237,529.20 and 53,245.52 is: 79,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,462 : 237,529.20 = 53,245.52 : x
  2. Step 2: Convert to fraction form
    158,462/237,529.20 = 53,245.52/x
  3. Step 3: Cross multiply
    158,462x = 237,529.20 × 53,245.52
  4. Step 4: Simplify right side
    158,462x = 12,647,365,769.18
  5. Step 5: Solve for x
    x = 12,647,365,769.18/158,462
  6. Step 6: Final answer
    x = 79,813.24

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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.