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Finding the Fourth Proportional to 102,599.33, 154,056.53 and 91,459.33

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Solution

The fourth proportional to 102,599.33, 154,056.53 and 91,459.33 is: 137,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599.33 : 154,056.53 = 91,459.33 : x
  2. Step 2: Convert to fraction form
    102,599.33/154,056.53 = 91,459.33/x
  3. Step 3: Cross multiply
    102,599.33x = 154,056.53 × 91,459.33
  4. Step 4: Simplify right side
    102,599.33x = 14,089,906,859.43
  5. Step 5: Solve for x
    x = 14,089,906,859.43/102,599.33
  6. Step 6: Final answer
    x = 137,329.43

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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.