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Finding the Fourth Proportional to 221,586.64, 305,936.20 and 136,828.24

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Solution

The fourth proportional to 221,586.64, 305,936.20 and 136,828.24 is: 188,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,586.64 : 305,936.20 = 136,828.24 : x
  2. Step 2: Convert to fraction form
    221,586.64/305,936.20 = 136,828.24/x
  3. Step 3: Cross multiply
    221,586.64x = 305,936.20 × 136,828.24
  4. Step 4: Simplify right side
    221,586.64x = 41,860,711,798.29
  5. Step 5: Solve for x
    x = 41,860,711,798.29/221,586.64
  6. Step 6: Final answer
    x = 188,913.52

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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.