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Finding the Fourth Proportional to 258,411.90, 386,852.40 and 192,145.80

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Solution

The fourth proportional to 258,411.90, 386,852.40 and 192,145.80 is: 287,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411.90 : 386,852.40 = 192,145.80 : x
  2. Step 2: Convert to fraction form
    258,411.90/386,852.40 = 192,145.80/x
  3. Step 3: Cross multiply
    258,411.90x = 386,852.40 × 192,145.80
  4. Step 4: Simplify right side
    258,411.90x = 74,332,063,879.92
  5. Step 5: Solve for x
    x = 74,332,063,879.92/258,411.90
  6. Step 6: Final answer
    x = 287,649.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.