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Finding the Fourth Proportional to 212,208.52, 318,333.54 and 77,309.23

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Solution

The fourth proportional to 212,208.52, 318,333.54 and 77,309.23 is: 115,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208.52 : 318,333.54 = 77,309.23 : x
  2. Step 2: Convert to fraction form
    212,208.52/318,333.54 = 77,309.23/x
  3. Step 3: Cross multiply
    212,208.52x = 318,333.54 × 77,309.23
  4. Step 4: Simplify right side
    212,208.52x = 24,610,120,860.57
  5. Step 5: Solve for x
    x = 24,610,120,860.57/212,208.52
  6. Step 6: Final answer
    x = 115,971.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.