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Finding the Fourth Proportional to 150,541.64, 207,750.32 and 82,554.30

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Solution

The fourth proportional to 150,541.64, 207,750.32 and 82,554.30 is: 113,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541.64 : 207,750.32 = 82,554.30 : x
  2. Step 2: Convert to fraction form
    150,541.64/207,750.32 = 82,554.30/x
  3. Step 3: Cross multiply
    150,541.64x = 207,750.32 × 82,554.30
  4. Step 4: Simplify right side
    150,541.64x = 17,150,682,242.38
  5. Step 5: Solve for x
    x = 17,150,682,242.38/150,541.64
  6. Step 6: Final answer
    x = 113,926.50

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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.