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Finding the Fourth Proportional to 150,928.92, 208,283.81 and 82,953.32

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Solution

The fourth proportional to 150,928.92, 208,283.81 and 82,953.32 is: 114,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,928.92 : 208,283.81 = 82,953.32 : x
  2. Step 2: Convert to fraction form
    150,928.92/208,283.81 = 82,953.32/x
  3. Step 3: Cross multiply
    150,928.92x = 208,283.81 × 82,953.32
  4. Step 4: Simplify right side
    150,928.92x = 17,277,832,085.56
  5. Step 5: Solve for x
    x = 17,277,832,085.56/150,928.92
  6. Step 6: Final answer
    x = 114,476.62

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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.