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Finding the Fourth Proportional to 152,448, 228,687.84 and 41,640

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Solution

The fourth proportional to 152,448, 228,687.84 and 41,640 is: 62,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,448 : 228,687.84 = 41,640 : x
  2. Step 2: Convert to fraction form
    152,448/228,687.84 = 41,640/x
  3. Step 3: Cross multiply
    152,448x = 228,687.84 × 41,640
  4. Step 4: Simplify right side
    152,448x = 9,522,561,657.60
  5. Step 5: Solve for x
    x = 9,522,561,657.60/152,448
  6. Step 6: Final answer
    x = 62,464.33

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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.