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Finding the Fourth Proportional to 220,380, 304,124.40 and 130,956

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Solution

The fourth proportional to 220,380, 304,124.40 and 130,956 is: 180,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,380 : 304,124.40 = 130,956 : x
  2. Step 2: Convert to fraction form
    220,380/304,124.40 = 130,956/x
  3. Step 3: Cross multiply
    220,380x = 304,124.40 × 130,956
  4. Step 4: Simplify right side
    220,380x = 39,826,914,926.40
  5. Step 5: Solve for x
    x = 39,826,914,926.40/220,380
  6. Step 6: Final answer
    x = 180,719.28

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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.