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Finding the Fourth Proportional to 263,715.49, 363,928.27 and 142,856.40

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Solution

The fourth proportional to 263,715.49, 363,928.27 and 142,856.40 is: 197,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,715.49 : 363,928.27 = 142,856.40 : x
  2. Step 2: Convert to fraction form
    263,715.49/363,928.27 = 142,856.40/x
  3. Step 3: Cross multiply
    263,715.49x = 363,928.27 × 142,856.40
  4. Step 4: Simplify right side
    263,715.49x = 51,989,482,153.29
  5. Step 5: Solve for x
    x = 51,989,482,153.29/263,715.49
  6. Step 6: Final answer
    x = 197,142.32

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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.