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Finding the Fourth Proportional to 200,408.25, 276,557.93 and 114,365.67

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Solution

The fourth proportional to 200,408.25, 276,557.93 and 114,365.67 is: 157,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,408.25 : 276,557.93 = 114,365.67 : x
  2. Step 2: Convert to fraction form
    200,408.25/276,557.93 = 114,365.67/x
  3. Step 3: Cross multiply
    200,408.25x = 276,557.93 × 114,365.67
  4. Step 4: Simplify right side
    200,408.25x = 31,628,732,386.43
  5. Step 5: Solve for x
    x = 31,628,732,386.43/200,408.25
  6. Step 6: Final answer
    x = 157,821.51

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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.