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Finding the Fourth Proportional to 221,647.66, 305,974.47 and 141,185.50

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Solution

The fourth proportional to 221,647.66, 305,974.47 and 141,185.50 is: 194,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,647.66 : 305,974.47 = 141,185.50 : x
  2. Step 2: Convert to fraction form
    221,647.66/305,974.47 = 141,185.50/x
  3. Step 3: Cross multiply
    221,647.66x = 305,974.47 × 141,185.50
  4. Step 4: Simplify right side
    221,647.66x = 43,199,158,534.19
  5. Step 5: Solve for x
    x = 43,199,158,534.19/221,647.66
  6. Step 6: Final answer
    x = 194,900.13

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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.