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Finding the Fourth Proportional to 145,999.67, 201,471.30 and 82,333.67

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Solution

The fourth proportional to 145,999.67, 201,471.30 and 82,333.67 is: 113,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,999.67 : 201,471.30 = 82,333.67 : x
  2. Step 2: Convert to fraction form
    145,999.67/201,471.30 = 82,333.67/x
  3. Step 3: Cross multiply
    145,999.67x = 201,471.30 × 82,333.67
  4. Step 4: Simplify right side
    145,999.67x = 16,587,870,521.31
  5. Step 5: Solve for x
    x = 16,587,870,521.31/145,999.67
  6. Step 6: Final answer
    x = 113,615.81

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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.