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Finding the Fourth Proportional to 263,511.95, 363,646.59 and 142,653.23

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Solution

The fourth proportional to 263,511.95, 363,646.59 and 142,653.23 is: 196,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,511.95 : 363,646.59 = 142,653.23 : x
  2. Step 2: Convert to fraction form
    263,511.95/363,646.59 = 142,653.23/x
  3. Step 3: Cross multiply
    263,511.95x = 363,646.59 × 142,653.23
  4. Step 4: Simplify right side
    263,511.95x = 51,875,358,823.75
  5. Step 5: Solve for x
    x = 51,875,358,823.75/263,511.95
  6. Step 6: Final answer
    x = 196,861.51

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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.