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Finding the Fourth Proportional to 85,409.60, 127,768.80 and 75,041.60

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Solution

The fourth proportional to 85,409.60, 127,768.80 and 75,041.60 is: 112,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.60 : 127,768.80 = 75,041.60 : x
  2. Step 2: Convert to fraction form
    85,409.60/127,768.80 = 75,041.60/x
  3. Step 3: Cross multiply
    85,409.60x = 127,768.80 × 75,041.60
  4. Step 4: Simplify right side
    85,409.60x = 9,587,975,182.08
  5. Step 5: Solve for x
    x = 9,587,975,182.08/85,409.60
  6. Step 6: Final answer
    x = 112,258.75

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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.