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Finding the Fourth Proportional to 84,313.74, 116,341.20 and 82,045.74

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Solution

The fourth proportional to 84,313.74, 116,341.20 and 82,045.74 is: 113,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,313.74 : 116,341.20 = 82,045.74 : x
  2. Step 2: Convert to fraction form
    84,313.74/116,341.20 = 82,045.74/x
  3. Step 3: Cross multiply
    84,313.74x = 116,341.20 × 82,045.74
  4. Step 4: Simplify right side
    84,313.74x = 9,545,299,846.49
  5. Step 5: Solve for x
    x = 9,545,299,846.49/84,313.74
  6. Step 6: Final answer
    x = 113,211.68

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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.