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Finding the Fourth Proportional to 159,178.50, 238,769.37 and 48,370.50

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Solution

The fourth proportional to 159,178.50, 238,769.37 and 48,370.50 is: 72,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,178.50 : 238,769.37 = 48,370.50 : x
  2. Step 2: Convert to fraction form
    159,178.50/238,769.37 = 48,370.50/x
  3. Step 3: Cross multiply
    159,178.50x = 238,769.37 × 48,370.50
  4. Step 4: Simplify right side
    159,178.50x = 11,549,393,811.59
  5. Step 5: Solve for x
    x = 11,549,393,811.59/159,178.50
  6. Step 6: Final answer
    x = 72,556.24

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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.