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Finding the Fourth Proportional to 209,352.33, 314,028.56 and 51,580.80

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Solution

The fourth proportional to 209,352.33, 314,028.56 and 51,580.80 is: 77,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.33 : 314,028.56 = 51,580.80 : x
  2. Step 2: Convert to fraction form
    209,352.33/314,028.56 = 51,580.80/x
  3. Step 3: Cross multiply
    209,352.33x = 314,028.56 × 51,580.80
  4. Step 4: Simplify right side
    209,352.33x = 16,197,844,476.60
  5. Step 5: Solve for x
    x = 16,197,844,476.60/209,352.33
  6. Step 6: Final answer
    x = 77,371.22

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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.