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Finding the Fourth Proportional to 81,638.40, 122,457.60 and 71,270.40

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Solution

The fourth proportional to 81,638.40, 122,457.60 and 71,270.40 is: 106,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.40 : 122,457.60 = 71,270.40 : x
  2. Step 2: Convert to fraction form
    81,638.40/122,457.60 = 71,270.40/x
  3. Step 3: Cross multiply
    81,638.40x = 122,457.60 × 71,270.40
  4. Step 4: Simplify right side
    81,638.40x = 8,727,602,135.04
  5. Step 5: Solve for x
    x = 8,727,602,135.04/81,638.40
  6. Step 6: Final answer
    x = 106,905.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.