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Finding the Fourth Proportional to 82,076.58, 113,457 and 73,211.94

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Solution

The fourth proportional to 82,076.58, 113,457 and 73,211.94 is: 101,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,076.58 : 113,457 = 73,211.94 : x
  2. Step 2: Convert to fraction form
    82,076.58/113,457 = 73,211.94/x
  3. Step 3: Cross multiply
    82,076.58x = 113,457 × 73,211.94
  4. Step 4: Simplify right side
    82,076.58x = 8,306,407,076.58
  5. Step 5: Solve for x
    x = 8,306,407,076.58/82,076.58
  6. Step 6: Final answer
    x = 101,203.13

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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.