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Finding the Fourth Proportional to 200,356.75, 276,492.32 and 110,932.75

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Solution

The fourth proportional to 200,356.75, 276,492.32 and 110,932.75 is: 153,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356.75 : 276,492.32 = 110,932.75 : x
  2. Step 2: Convert to fraction form
    200,356.75/276,492.32 = 110,932.75/x
  3. Step 3: Cross multiply
    200,356.75x = 276,492.32 × 110,932.75
  4. Step 4: Simplify right side
    200,356.75x = 30,672,053,411.48
  5. Step 5: Solve for x
    x = 30,672,053,411.48/200,356.75
  6. Step 6: Final answer
    x = 153,087.20

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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.