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Finding the Fourth Proportional to 212,802.41, 318,988.22 and 137,970.11

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Solution

The fourth proportional to 212,802.41, 318,988.22 and 137,970.11 is: 206,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,802.41 : 318,988.22 = 137,970.11 : x
  2. Step 2: Convert to fraction form
    212,802.41/318,988.22 = 137,970.11/x
  3. Step 3: Cross multiply
    212,802.41x = 318,988.22 × 137,970.11
  4. Step 4: Simplify right side
    212,802.41x = 44,010,837,517.31
  5. Step 5: Solve for x
    x = 44,010,837,517.31/212,802.41
  6. Step 6: Final answer
    x = 206,815.51

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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.