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Finding the Fourth Proportional to 200,979, 277,352.10 and 125,571.24

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Solution

The fourth proportional to 200,979, 277,352.10 and 125,571.24 is: 173,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,979 : 277,352.10 = 125,571.24 : x
  2. Step 2: Convert to fraction form
    200,979/277,352.10 = 125,571.24/x
  3. Step 3: Cross multiply
    200,979x = 277,352.10 × 125,571.24
  4. Step 4: Simplify right side
    200,979x = 34,827,447,113.60
  5. Step 5: Solve for x
    x = 34,827,447,113.60/200,979
  6. Step 6: Final answer
    x = 173,288.99

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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.