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Finding the Fourth Proportional to 263,306, 363,362.52 and 144,074

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Solution

The fourth proportional to 263,306, 363,362.52 and 144,074 is: 198,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,306 : 363,362.52 = 144,074 : x
  2. Step 2: Convert to fraction form
    263,306/363,362.52 = 144,074/x
  3. Step 3: Cross multiply
    263,306x = 363,362.52 × 144,074
  4. Step 4: Simplify right side
    263,306x = 52,351,091,706.48
  5. Step 5: Solve for x
    x = 52,351,091,706.48/263,306
  6. Step 6: Final answer
    x = 198,822.25

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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.