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Finding the Fourth Proportional to 200,782.53, 277,079.88 and 115,899.60

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Solution

The fourth proportional to 200,782.53, 277,079.88 and 115,899.60 is: 159,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782.53 : 277,079.88 = 115,899.60 : x
  2. Step 2: Convert to fraction form
    200,782.53/277,079.88 = 115,899.60/x
  3. Step 3: Cross multiply
    200,782.53x = 277,079.88 × 115,899.60
  4. Step 4: Simplify right side
    200,782.53x = 32,113,447,260.05
  5. Step 5: Solve for x
    x = 32,113,447,260.05/200,782.53
  6. Step 6: Final answer
    x = 159,941.44

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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.