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Finding the Fourth Proportional to 227,976.80, 342,159.60 and 101,811.20

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Solution

The fourth proportional to 227,976.80, 342,159.60 and 101,811.20 is: 152,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,976.80 : 342,159.60 = 101,811.20 : x
  2. Step 2: Convert to fraction form
    227,976.80/342,159.60 = 101,811.20/x
  3. Step 3: Cross multiply
    227,976.80x = 342,159.60 × 101,811.20
  4. Step 4: Simplify right side
    227,976.80x = 34,835,679,467.52
  5. Step 5: Solve for x
    x = 34,835,679,467.52/227,976.80
  6. Step 6: Final answer
    x = 152,803.62

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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.