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Finding the Fourth Proportional to 216,769.96, 325,258.62 and 76,594.60

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Solution

The fourth proportional to 216,769.96, 325,258.62 and 76,594.60 is: 114,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,769.96 : 325,258.62 = 76,594.60 : x
  2. Step 2: Convert to fraction form
    216,769.96/325,258.62 = 76,594.60/x
  3. Step 3: Cross multiply
    216,769.96x = 325,258.62 × 76,594.60
  4. Step 4: Simplify right side
    216,769.96x = 24,913,053,895.45
  5. Step 5: Solve for x
    x = 24,913,053,895.45/216,769.96
  6. Step 6: Final answer
    x = 114,928.53

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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.