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Finding the Fourth Proportional to 103,696.15, 155,544.23 and 51,208.15

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Solution

The fourth proportional to 103,696.15, 155,544.23 and 51,208.15 is: 76,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696.15 : 155,544.23 = 51,208.15 : x
  2. Step 2: Convert to fraction form
    103,696.15/155,544.23 = 51,208.15/x
  3. Step 3: Cross multiply
    103,696.15x = 155,544.23 × 51,208.15
  4. Step 4: Simplify right side
    103,696.15x = 7,965,132,261.47
  5. Step 5: Solve for x
    x = 7,965,132,261.47/103,696.15
  6. Step 6: Final answer
    x = 76,812.23

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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.