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Finding the Fourth Proportional to 140,074.92, 210,078.36 and 46,568.52

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Solution

The fourth proportional to 140,074.92, 210,078.36 and 46,568.52 is: 69,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,074.92 : 210,078.36 = 46,568.52 : x
  2. Step 2: Convert to fraction form
    140,074.92/210,078.36 = 46,568.52/x
  3. Step 3: Cross multiply
    140,074.92x = 210,078.36 × 46,568.52
  4. Step 4: Simplify right side
    140,074.92x = 9,783,038,309.23
  5. Step 5: Solve for x
    x = 9,783,038,309.23/140,074.92
  6. Step 6: Final answer
    x = 69,841.47

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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.