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Finding the Fourth Proportional to 291,274.83, 402,083.15 and 195,836.85

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Solution

The fourth proportional to 291,274.83, 402,083.15 and 195,836.85 is: 270,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,274.83 : 402,083.15 = 195,836.85 : x
  2. Step 2: Convert to fraction form
    291,274.83/402,083.15 = 195,836.85/x
  3. Step 3: Cross multiply
    291,274.83x = 402,083.15 × 195,836.85
  4. Step 4: Simplify right side
    291,274.83x = 78,742,696,554.89
  5. Step 5: Solve for x
    x = 78,742,696,554.89/291,274.83
  6. Step 6: Final answer
    x = 270,338.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.