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Finding the Fourth Proportional to 282,135.84, 389,346.39 and 154,813.56

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Solution

The fourth proportional to 282,135.84, 389,346.39 and 154,813.56 is: 213,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,135.84 : 389,346.39 = 154,813.56 : x
  2. Step 2: Convert to fraction form
    282,135.84/389,346.39 = 154,813.56/x
  3. Step 3: Cross multiply
    282,135.84x = 389,346.39 × 154,813.56
  4. Step 4: Simplify right side
    282,135.84x = 60,276,100,709.05
  5. Step 5: Solve for x
    x = 60,276,100,709.05/282,135.84
  6. Step 6: Final answer
    x = 213,642.13

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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.