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Finding the Fourth Proportional to 182,866.38, 252,376.50 and 102,314.30

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Solution

The fourth proportional to 182,866.38, 252,376.50 and 102,314.30 is: 141,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,866.38 : 252,376.50 = 102,314.30 : x
  2. Step 2: Convert to fraction form
    182,866.38/252,376.50 = 102,314.30/x
  3. Step 3: Cross multiply
    182,866.38x = 252,376.50 × 102,314.30
  4. Step 4: Simplify right side
    182,866.38x = 25,821,724,933.95
  5. Step 5: Solve for x
    x = 25,821,724,933.95/182,866.38
  6. Step 6: Final answer
    x = 141,205.43

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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.