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Finding the Fourth Proportional to 107,174.26, 160,794.60 and 77,602.78

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Solution

The fourth proportional to 107,174.26, 160,794.60 and 77,602.78 is: 116,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,174.26 : 160,794.60 = 77,602.78 : x
  2. Step 2: Convert to fraction form
    107,174.26/160,794.60 = 77,602.78/x
  3. Step 3: Cross multiply
    107,174.26x = 160,794.60 × 77,602.78
  4. Step 4: Simplify right side
    107,174.26x = 12,478,107,968.99
  5. Step 5: Solve for x
    x = 12,478,107,968.99/107,174.26
  6. Step 6: Final answer
    x = 116,428.22

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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.