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Finding the Fourth Proportional to 263,435.69, 363,538.10 and 142,574.10

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Solution

The fourth proportional to 263,435.69, 363,538.10 and 142,574.10 is: 196,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,435.69 : 363,538.10 = 142,574.10 : x
  2. Step 2: Convert to fraction form
    263,435.69/363,538.10 = 142,574.10/x
  3. Step 3: Cross multiply
    263,435.69x = 363,538.10 × 142,574.10
  4. Step 4: Simplify right side
    263,435.69x = 51,831,117,423.21
  5. Step 5: Solve for x
    x = 51,831,117,423.21/263,435.69
  6. Step 6: Final answer
    x = 196,750.55

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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.