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Finding the Fourth Proportional to 200,493.95, 276,671.07 and 114,449.50

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Solution

The fourth proportional to 200,493.95, 276,671.07 and 114,449.50 is: 157,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,493.95 : 276,671.07 = 114,449.50 : x
  2. Step 2: Convert to fraction form
    200,493.95/276,671.07 = 114,449.50/x
  3. Step 3: Cross multiply
    200,493.95x = 276,671.07 × 114,449.50
  4. Step 4: Simplify right side
    200,493.95x = 31,664,866,428.05
  5. Step 5: Solve for x
    x = 31,664,866,428.05/200,493.95
  6. Step 6: Final answer
    x = 157,934.28

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1.5x scale

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.