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Finding the Fourth Proportional to 192,014.76, 287,987.52 and 51,740.64

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Solution

The fourth proportional to 192,014.76, 287,987.52 and 51,740.64 is: 77,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,014.76 : 287,987.52 = 51,740.64 : x
  2. Step 2: Convert to fraction form
    192,014.76/287,987.52 = 51,740.64/x
  3. Step 3: Cross multiply
    192,014.76x = 287,987.52 × 51,740.64
  4. Step 4: Simplify right side
    192,014.76x = 14,900,658,596.81
  5. Step 5: Solve for x
    x = 14,900,658,596.81/192,014.76
  6. Step 6: Final answer
    x = 77,601.63

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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.