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Finding the Fourth Proportional to 224,015.84, 335,907.06 and 105,655.40

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Solution

The fourth proportional to 224,015.84, 335,907.06 and 105,655.40 is: 158,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,015.84 : 335,907.06 = 105,655.40 : x
  2. Step 2: Convert to fraction form
    224,015.84/335,907.06 = 105,655.40/x
  3. Step 3: Cross multiply
    224,015.84x = 335,907.06 × 105,655.40
  4. Step 4: Simplify right side
    224,015.84x = 35,490,394,787.12
  5. Step 5: Solve for x
    x = 35,490,394,787.12/224,015.84
  6. Step 6: Final answer
    x = 158,428.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.