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Finding the Fourth Proportional to 130,093.60, 194,913.60 and 59,828.80

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Solution

The fourth proportional to 130,093.60, 194,913.60 and 59,828.80 is: 89,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,093.60 : 194,913.60 = 59,828.80 : x
  2. Step 2: Convert to fraction form
    130,093.60/194,913.60 = 59,828.80/x
  3. Step 3: Cross multiply
    130,093.60x = 194,913.60 × 59,828.80
  4. Step 4: Simplify right side
    130,093.60x = 11,661,446,791.68
  5. Step 5: Solve for x
    x = 11,661,446,791.68/130,093.60
  6. Step 6: Final answer
    x = 89,638.90

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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.