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Finding the Fourth Proportional to 150,761.57, 208,054.93 and 82,782.93

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Solution

The fourth proportional to 150,761.57, 208,054.93 and 82,782.93 is: 114,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,761.57 : 208,054.93 = 82,782.93 : x
  2. Step 2: Convert to fraction form
    150,761.57/208,054.93 = 82,782.93/x
  3. Step 3: Cross multiply
    150,761.57x = 208,054.93 × 82,782.93
  4. Step 4: Simplify right side
    150,761.57x = 17,223,396,706.34
  5. Step 5: Solve for x
    x = 17,223,396,706.34/150,761.57
  6. Step 6: Final answer
    x = 114,242.62

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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.