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Finding the Fourth Proportional to 200,778.53, 277,074.36 and 115,895.60

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Solution

The fourth proportional to 200,778.53, 277,074.36 and 115,895.60 is: 159,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.53 : 277,074.36 = 115,895.60 : x
  2. Step 2: Convert to fraction form
    200,778.53/277,074.36 = 115,895.60/x
  3. Step 3: Cross multiply
    200,778.53x = 277,074.36 × 115,895.60
  4. Step 4: Simplify right side
    200,778.53x = 32,111,697,811.44
  5. Step 5: Solve for x
    x = 32,111,697,811.44/200,778.53
  6. Step 6: Final answer
    x = 159,935.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.