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Finding the Fourth Proportional to 282,251.50, 389,830.34 and 185,886.12

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Solution

The fourth proportional to 282,251.50, 389,830.34 and 185,886.12 is: 256,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,251.50 : 389,830.34 = 185,886.12 : x
  2. Step 2: Convert to fraction form
    282,251.50/389,830.34 = 185,886.12/x
  3. Step 3: Cross multiply
    282,251.50x = 389,830.34 × 185,886.12
  4. Step 4: Simplify right side
    282,251.50x = 72,464,050,241.85
  5. Step 5: Solve for x
    x = 72,464,050,241.85/282,251.50
  6. Step 6: Final answer
    x = 256,735.75

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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.