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Finding the Fourth Proportional to 221,496.40, 305,558.76 and 160,973.20

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Solution

The fourth proportional to 221,496.40, 305,558.76 and 160,973.20 is: 222,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,496.40 : 305,558.76 = 160,973.20 : x
  2. Step 2: Convert to fraction form
    221,496.40/305,558.76 = 160,973.20/x
  3. Step 3: Cross multiply
    221,496.40x = 305,558.76 × 160,973.20
  4. Step 4: Simplify right side
    221,496.40x = 49,186,771,385.23
  5. Step 5: Solve for x
    x = 49,186,771,385.23/221,496.40
  6. Step 6: Final answer
    x = 222,065.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.