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Finding the Fourth Proportional to 221,646.16, 305,972.40 and 141,184

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Solution

The fourth proportional to 221,646.16, 305,972.40 and 141,184 is: 194,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,646.16 : 305,972.40 = 141,184 : x
  2. Step 2: Convert to fraction form
    221,646.16/305,972.40 = 141,184/x
  3. Step 3: Cross multiply
    221,646.16x = 305,972.40 × 141,184
  4. Step 4: Simplify right side
    221,646.16x = 43,198,407,321.60
  5. Step 5: Solve for x
    x = 43,198,407,321.60/221,646.16
  6. Step 6: Final answer
    x = 194,898.06

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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.