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Finding the Fourth Proportional to 263,953.80, 364,276.98 and 150,813

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Solution

The fourth proportional to 263,953.80, 364,276.98 and 150,813 is: 208,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,953.80 : 364,276.98 = 150,813 : x
  2. Step 2: Convert to fraction form
    263,953.80/364,276.98 = 150,813/x
  3. Step 3: Cross multiply
    263,953.80x = 364,276.98 × 150,813
  4. Step 4: Simplify right side
    263,953.80x = 54,937,704,184.74
  5. Step 5: Solve for x
    x = 54,937,704,184.74/263,953.80
  6. Step 6: Final answer
    x = 208,133.79

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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.