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Finding the Fourth Proportional to 188,992.87, 283,482.21 and 46,838.61

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Solution

The fourth proportional to 188,992.87, 283,482.21 and 46,838.61 is: 70,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,992.87 : 283,482.21 = 46,838.61 : x
  2. Step 2: Convert to fraction form
    188,992.87/283,482.21 = 46,838.61/x
  3. Step 3: Cross multiply
    188,992.87x = 283,482.21 × 46,838.61
  4. Step 4: Simplify right side
    188,992.87x = 13,277,912,851.77
  5. Step 5: Solve for x
    x = 13,277,912,851.77/188,992.87
  6. Step 6: Final answer
    x = 70,256.16

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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.