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Finding the Fourth Proportional to 114,298.40, 171,544.80 and 51,215.60

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Solution

The fourth proportional to 114,298.40, 171,544.80 and 51,215.60 is: 76,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298.40 : 171,544.80 = 51,215.60 : x
  2. Step 2: Convert to fraction form
    114,298.40/171,544.80 = 51,215.60/x
  3. Step 3: Cross multiply
    114,298.40x = 171,544.80 × 51,215.60
  4. Step 4: Simplify right side
    114,298.40x = 8,785,769,858.88
  5. Step 5: Solve for x
    x = 8,785,769,858.88/114,298.40
  6. Step 6: Final answer
    x = 76,866.95

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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.