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Finding the Fourth Proportional to 243,085.80, 364,628.70 and 102,826.20

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Solution

The fourth proportional to 243,085.80, 364,628.70 and 102,826.20 is: 154,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,085.80 : 364,628.70 = 102,826.20 : x
  2. Step 2: Convert to fraction form
    243,085.80/364,628.70 = 102,826.20/x
  3. Step 3: Cross multiply
    243,085.80x = 364,628.70 × 102,826.20
  4. Step 4: Simplify right side
    243,085.80x = 37,493,383,631.94
  5. Step 5: Solve for x
    x = 37,493,383,631.94/243,085.80
  6. Step 6: Final answer
    x = 154,239.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.