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Finding the Fourth Proportional to 200,474.70, 276,655.32 and 108,594.17

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Solution

The fourth proportional to 200,474.70, 276,655.32 and 108,594.17 is: 149,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,474.70 : 276,655.32 = 108,594.17 : x
  2. Step 2: Convert to fraction form
    200,474.70/276,655.32 = 108,594.17/x
  3. Step 3: Cross multiply
    200,474.70x = 276,655.32 × 108,594.17
  4. Step 4: Simplify right side
    200,474.70x = 30,043,154,851.48
  5. Step 5: Solve for x
    x = 30,043,154,851.48/200,474.70
  6. Step 6: Final answer
    x = 149,860.08

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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.