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Finding the Fourth Proportional to 150,802.32, 208,098 and 82,806.06

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Solution

The fourth proportional to 150,802.32, 208,098 and 82,806.06 is: 114,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,802.32 : 208,098 = 82,806.06 : x
  2. Step 2: Convert to fraction form
    150,802.32/208,098 = 82,806.06/x
  3. Step 3: Cross multiply
    150,802.32x = 208,098 × 82,806.06
  4. Step 4: Simplify right side
    150,802.32x = 17,231,775,473.88
  5. Step 5: Solve for x
    x = 17,231,775,473.88/150,802.32
  6. Step 6: Final answer
    x = 114,267.31

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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.