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Finding the Fourth Proportional to 263,056.60, 363,020.76 and 142,200.16

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Solution

The fourth proportional to 263,056.60, 363,020.76 and 142,200.16 is: 196,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,056.60 : 363,020.76 = 142,200.16 : x
  2. Step 2: Convert to fraction form
    263,056.60/363,020.76 = 142,200.16/x
  3. Step 3: Cross multiply
    263,056.60x = 363,020.76 × 142,200.16
  4. Step 4: Simplify right side
    263,056.60x = 51,621,610,155.32
  5. Step 5: Solve for x
    x = 51,621,610,155.32/263,056.60
  6. Step 6: Final answer
    x = 196,237.65

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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.