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Finding the Fourth Proportional to 155,400.77, 233,095.68 and 50,217

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Solution

The fourth proportional to 155,400.77, 233,095.68 and 50,217 is: 75,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,400.77 : 233,095.68 = 50,217 : x
  2. Step 2: Convert to fraction form
    155,400.77/233,095.68 = 50,217/x
  3. Step 3: Cross multiply
    155,400.77x = 233,095.68 × 50,217
  4. Step 4: Simplify right side
    155,400.77x = 11,705,365,762.56
  5. Step 5: Solve for x
    x = 11,705,365,762.56/155,400.77
  6. Step 6: Final answer
    x = 75,323.73

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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.