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Finding the Fourth Proportional to 268,297.50, 370,251.99 and 149,065.50

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Solution

The fourth proportional to 268,297.50, 370,251.99 and 149,065.50 is: 205,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,297.50 : 370,251.99 = 149,065.50 : x
  2. Step 2: Convert to fraction form
    268,297.50/370,251.99 = 149,065.50/x
  3. Step 3: Cross multiply
    268,297.50x = 370,251.99 × 149,065.50
  4. Step 4: Simplify right side
    268,297.50x = 55,191,798,015.35
  5. Step 5: Solve for x
    x = 55,191,798,015.35/268,297.50
  6. Step 6: Final answer
    x = 205,711.19

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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.