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Finding the Fourth Proportional to 116,212.40, 174,415.80 and 53,129.60

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Solution

The fourth proportional to 116,212.40, 174,415.80 and 53,129.60 is: 79,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,212.40 : 174,415.80 = 53,129.60 : x
  2. Step 2: Convert to fraction form
    116,212.40/174,415.80 = 53,129.60/x
  3. Step 3: Cross multiply
    116,212.40x = 174,415.80 × 53,129.60
  4. Step 4: Simplify right side
    116,212.40x = 9,266,641,687.68
  5. Step 5: Solve for x
    x = 9,266,641,687.68/116,212.40
  6. Step 6: Final answer
    x = 79,738.84

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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.