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Finding the Fourth Proportional to 150,903.63, 208,246.95 and 82,924.98

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Solution

The fourth proportional to 150,903.63, 208,246.95 and 82,924.98 is: 114,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,903.63 : 208,246.95 = 82,924.98 : x
  2. Step 2: Convert to fraction form
    150,903.63/208,246.95 = 82,924.98/x
  3. Step 3: Cross multiply
    150,903.63x = 208,246.95 × 82,924.98
  4. Step 4: Simplify right side
    150,903.63x = 17,268,874,163.81
  5. Step 5: Solve for x
    x = 17,268,874,163.81/150,903.63
  6. Step 6: Final answer
    x = 114,436.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.