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Finding the Fourth Proportional to 216,749.80, 325,181.40 and 83,634.40

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Solution

The fourth proportional to 216,749.80, 325,181.40 and 83,634.40 is: 125,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,749.80 : 325,181.40 = 83,634.40 : x
  2. Step 2: Convert to fraction form
    216,749.80/325,181.40 = 83,634.40/x
  3. Step 3: Cross multiply
    216,749.80x = 325,181.40 × 83,634.40
  4. Step 4: Simplify right side
    216,749.80x = 27,196,351,280.16
  5. Step 5: Solve for x
    x = 27,196,351,280.16/216,749.80
  6. Step 6: Final answer
    x = 125,473.48

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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.