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Finding the Fourth Proportional to 150,792, 208,095.68 and 82,815.36

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Solution

The fourth proportional to 150,792, 208,095.68 and 82,815.36 is: 114,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,792 : 208,095.68 = 82,815.36 : x
  2. Step 2: Convert to fraction form
    150,792/208,095.68 = 82,815.36/x
  3. Step 3: Cross multiply
    150,792x = 208,095.68 × 82,815.36
  4. Step 4: Simplify right side
    150,792x = 17,233,518,653.64
  5. Step 5: Solve for x
    x = 17,233,518,653.64/150,792
  6. Step 6: Final answer
    x = 114,286.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.