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Finding the Fourth Proportional to 291,068.25, 436,571.66 and 77,857.68

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Solution

The fourth proportional to 291,068.25, 436,571.66 and 77,857.68 is: 116,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,068.25 : 436,571.66 = 77,857.68 : x
  2. Step 2: Convert to fraction form
    291,068.25/436,571.66 = 77,857.68/x
  3. Step 3: Cross multiply
    291,068.25x = 436,571.66 × 77,857.68
  4. Step 4: Simplify right side
    291,068.25x = 33,990,454,746.08
  5. Step 5: Solve for x
    x = 33,990,454,746.08/291,068.25
  6. Step 6: Final answer
    x = 116,778.30

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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.