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Finding the Fourth Proportional to 193,405.20, 290,107.80 and 160,162.80

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Solution

The fourth proportional to 193,405.20, 290,107.80 and 160,162.80 is: 240,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,405.20 : 290,107.80 = 160,162.80 : x
  2. Step 2: Convert to fraction form
    193,405.20/290,107.80 = 160,162.80/x
  3. Step 3: Cross multiply
    193,405.20x = 290,107.80 × 160,162.80
  4. Step 4: Simplify right side
    193,405.20x = 46,464,477,549.84
  5. Step 5: Solve for x
    x = 46,464,477,549.84/193,405.20
  6. Step 6: Final answer
    x = 240,244.20

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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.