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Finding the Fourth Proportional to 273,743.06, 410,615.54 and 84,202.14

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Solution

The fourth proportional to 273,743.06, 410,615.54 and 84,202.14 is: 126,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,743.06 : 410,615.54 = 84,202.14 : x
  2. Step 2: Convert to fraction form
    273,743.06/410,615.54 = 84,202.14/x
  3. Step 3: Cross multiply
    273,743.06x = 410,615.54 × 84,202.14
  4. Step 4: Simplify right side
    273,743.06x = 34,574,707,185.26
  5. Step 5: Solve for x
    x = 34,574,707,185.26/273,743.06
  6. Step 6: Final answer
    x = 126,303.50

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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.