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Finding the Fourth Proportional to 270,474.60, 405,711.90 and 122,730.60

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Solution

The fourth proportional to 270,474.60, 405,711.90 and 122,730.60 is: 184,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,474.60 : 405,711.90 = 122,730.60 : x
  2. Step 2: Convert to fraction form
    270,474.60/405,711.90 = 122,730.60/x
  3. Step 3: Cross multiply
    270,474.60x = 405,711.90 × 122,730.60
  4. Step 4: Simplify right side
    270,474.60x = 49,793,264,914.14
  5. Step 5: Solve for x
    x = 49,793,264,914.14/270,474.60
  6. Step 6: Final answer
    x = 184,095.90

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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.