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Finding the Fourth Proportional to 192,104.10, 288,133.47 and 51,873.66

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Solution

The fourth proportional to 192,104.10, 288,133.47 and 51,873.66 is: 77,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,104.10 : 288,133.47 = 51,873.66 : x
  2. Step 2: Convert to fraction form
    192,104.10/288,133.47 = 51,873.66/x
  3. Step 3: Cross multiply
    192,104.10x = 288,133.47 × 51,873.66
  4. Step 4: Simplify right side
    192,104.10x = 14,946,537,657.40
  5. Step 5: Solve for x
    x = 14,946,537,657.40/192,104.10
  6. Step 6: Final answer
    x = 77,804.37

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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.