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Finding the Fourth Proportional to 128,813.79, 193,054.36 and 57,684.45

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Solution

The fourth proportional to 128,813.79, 193,054.36 and 57,684.45 is: 86,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,813.79 : 193,054.36 = 57,684.45 : x
  2. Step 2: Convert to fraction form
    128,813.79/193,054.36 = 57,684.45/x
  3. Step 3: Cross multiply
    128,813.79x = 193,054.36 × 57,684.45
  4. Step 4: Simplify right side
    128,813.79x = 11,136,234,576.70
  5. Step 5: Solve for x
    x = 11,136,234,576.70/128,813.79
  6. Step 6: Final answer
    x = 86,452.19

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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.