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Finding the Fourth Proportional to 221,409.51, 305,548.65 and 120,807.51

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Solution

The fourth proportional to 221,409.51, 305,548.65 and 120,807.51 is: 166,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409.51 : 305,548.65 = 120,807.51 : x
  2. Step 2: Convert to fraction form
    221,409.51/305,548.65 = 120,807.51/x
  3. Step 3: Cross multiply
    221,409.51x = 305,548.65 × 120,807.51
  4. Step 4: Simplify right side
    221,409.51x = 36,912,571,590.36
  5. Step 5: Solve for x
    x = 36,912,571,590.36/221,409.51
  6. Step 6: Final answer
    x = 166,716.29

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1.5x scale

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.