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Finding the Fourth Proportional to 111,228.68, 166,769.21 and 77,989.02

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Solution

The fourth proportional to 111,228.68, 166,769.21 and 77,989.02 is: 116,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,228.68 : 166,769.21 = 77,989.02 : x
  2. Step 2: Convert to fraction form
    111,228.68/166,769.21 = 77,989.02/x
  3. Step 3: Cross multiply
    111,228.68x = 166,769.21 × 77,989.02
  4. Step 4: Simplify right side
    111,228.68x = 13,006,166,238.74
  5. Step 5: Solve for x
    x = 13,006,166,238.74/111,228.68
  6. Step 6: Final answer
    x = 116,931.77

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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.