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Finding the Fourth Proportional to 221,186.56, 305,142.84 and 144,572.56

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Solution

The fourth proportional to 221,186.56, 305,142.84 and 144,572.56 is: 199,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,186.56 : 305,142.84 = 144,572.56 : x
  2. Step 2: Convert to fraction form
    221,186.56/305,142.84 = 144,572.56/x
  3. Step 3: Cross multiply
    221,186.56x = 305,142.84 × 144,572.56
  4. Step 4: Simplify right side
    221,186.56x = 44,115,281,544.47
  5. Step 5: Solve for x
    x = 44,115,281,544.47/221,186.56
  6. Step 6: Final answer
    x = 199,448.29

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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.