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Finding the Fourth Proportional to 221,682.22, 305,811.86 and 130,994.31

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Solution

The fourth proportional to 221,682.22, 305,811.86 and 130,994.31 is: 180,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,682.22 : 305,811.86 = 130,994.31 : x
  2. Step 2: Convert to fraction form
    221,682.22/305,811.86 = 130,994.31/x
  3. Step 3: Cross multiply
    221,682.22x = 305,811.86 × 130,994.31
  4. Step 4: Simplify right side
    221,682.22x = 40,059,614,082.34
  5. Step 5: Solve for x
    x = 40,059,614,082.34/221,682.22
  6. Step 6: Final answer
    x = 180,707.39

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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.