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Finding the Fourth Proportional to 150,267.80, 207,363.16 and 82,283.56

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Solution

The fourth proportional to 150,267.80, 207,363.16 and 82,283.56 is: 113,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267.80 : 207,363.16 = 82,283.56 : x
  2. Step 2: Convert to fraction form
    150,267.80/207,363.16 = 82,283.56/x
  3. Step 3: Cross multiply
    150,267.80x = 207,363.16 × 82,283.56
  4. Step 4: Simplify right side
    150,267.80x = 17,062,579,017.65
  5. Step 5: Solve for x
    x = 17,062,579,017.65/150,267.80
  6. Step 6: Final answer
    x = 113,547.81

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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.