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Finding the Fourth Proportional to 85,427.60, 128,141.40 and 76,971.20

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Solution

The fourth proportional to 85,427.60, 128,141.40 and 76,971.20 is: 115,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,427.60 : 128,141.40 = 76,971.20 : x
  2. Step 2: Convert to fraction form
    85,427.60/128,141.40 = 76,971.20/x
  3. Step 3: Cross multiply
    85,427.60x = 128,141.40 × 76,971.20
  4. Step 4: Simplify right side
    85,427.60x = 9,863,197,327.68
  5. Step 5: Solve for x
    x = 9,863,197,327.68/85,427.60
  6. Step 6: Final answer
    x = 115,456.80

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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.