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Finding the Fourth Proportional to 146,000.67, 201,472.68 and 82,334.67

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Solution

The fourth proportional to 146,000.67, 201,472.68 and 82,334.67 is: 113,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,000.67 : 201,472.68 = 82,334.67 : x
  2. Step 2: Convert to fraction form
    146,000.67/201,472.68 = 82,334.67/x
  3. Step 3: Cross multiply
    146,000.67x = 201,472.68 × 82,334.67
  4. Step 4: Simplify right side
    146,000.67x = 16,588,186,621.82
  5. Step 5: Solve for x
    x = 16,588,186,621.82/146,000.67
  6. Step 6: Final answer
    x = 113,617.20

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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.