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Finding the Fourth Proportional to 150,602.70, 207,830.88 and 82,617.93

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Solution

The fourth proportional to 150,602.70, 207,830.88 and 82,617.93 is: 114,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,602.70 : 207,830.88 = 82,617.93 : x
  2. Step 2: Convert to fraction form
    150,602.70/207,830.88 = 82,617.93/x
  3. Step 3: Cross multiply
    150,602.70x = 207,830.88 × 82,617.93
  4. Step 4: Simplify right side
    150,602.70x = 17,170,557,095.68
  5. Step 5: Solve for x
    x = 17,170,557,095.68/150,602.70
  6. Step 6: Final answer
    x = 114,012.28

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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.