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Finding the Fourth Proportional to 237,783.50, 328,141.24 and 137,181.50

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Solution

The fourth proportional to 237,783.50, 328,141.24 and 137,181.50 is: 189,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,783.50 : 328,141.24 = 137,181.50 : x
  2. Step 2: Convert to fraction form
    237,783.50/328,141.24 = 137,181.50/x
  3. Step 3: Cross multiply
    237,783.50x = 328,141.24 × 137,181.50
  4. Step 4: Simplify right side
    237,783.50x = 45,014,907,515.06
  5. Step 5: Solve for x
    x = 45,014,907,515.06/237,783.50
  6. Step 6: Final answer
    x = 189,310.48

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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.