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Finding the Fourth Proportional to 140,374.86, 210,563.91 and 46,880.52

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Solution

The fourth proportional to 140,374.86, 210,563.91 and 46,880.52 is: 70,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,374.86 : 210,563.91 = 46,880.52 : x
  2. Step 2: Convert to fraction form
    140,374.86/210,563.91 = 46,880.52/x
  3. Step 3: Cross multiply
    140,374.86x = 210,563.91 × 46,880.52
  4. Step 4: Simplify right side
    140,374.86x = 9,871,345,594.03
  5. Step 5: Solve for x
    x = 9,871,345,594.03/140,374.86
  6. Step 6: Final answer
    x = 70,321.32

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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.