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Finding the Fourth Proportional to 82,777, 114,348.42 and 73,821.64

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Solution

The fourth proportional to 82,777, 114,348.42 and 73,821.64 is: 101,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777 : 114,348.42 = 73,821.64 : x
  2. Step 2: Convert to fraction form
    82,777/114,348.42 = 73,821.64/x
  3. Step 3: Cross multiply
    82,777x = 114,348.42 × 73,821.64
  4. Step 4: Simplify right side
    82,777x = 8,441,387,895.81
  5. Step 5: Solve for x
    x = 8,441,387,895.81/82,777
  6. Step 6: Final answer
    x = 101,977.46

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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.