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Finding the Fourth Proportional to 192,071.93, 288,107.89 and 51,830.33

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Solution

The fourth proportional to 192,071.93, 288,107.89 and 51,830.33 is: 77,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,071.93 : 288,107.89 = 51,830.33 : x
  2. Step 2: Convert to fraction form
    192,071.93/288,107.89 = 51,830.33/x
  3. Step 3: Cross multiply
    192,071.93x = 288,107.89 × 51,830.33
  4. Step 4: Simplify right side
    192,071.93x = 14,932,725,444.19
  5. Step 5: Solve for x
    x = 14,932,725,444.19/192,071.93
  6. Step 6: Final answer
    x = 77,745.49

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1.5x scale

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.