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Finding the Fourth Proportional to 111,125.84, 166,535.02 and 96,297.98

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Solution

The fourth proportional to 111,125.84, 166,535.02 and 96,297.98 is: 144,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,125.84 : 166,535.02 = 96,297.98 : x
  2. Step 2: Convert to fraction form
    111,125.84/166,535.02 = 96,297.98/x
  3. Step 3: Cross multiply
    111,125.84x = 166,535.02 × 96,297.98
  4. Step 4: Simplify right side
    111,125.84x = 16,036,986,025.26
  5. Step 5: Solve for x
    x = 16,036,986,025.26/111,125.84
  6. Step 6: Final answer
    x = 144,313.74

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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.