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Finding the Fourth Proportional to 260,093.97, 390,113.01 and 176,391.41

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Solution

The fourth proportional to 260,093.97, 390,113.01 and 176,391.41 is: 264,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,093.97 : 390,113.01 = 176,391.41 : x
  2. Step 2: Convert to fraction form
    260,093.97/390,113.01 = 176,391.41/x
  3. Step 3: Cross multiply
    260,093.97x = 390,113.01 × 176,391.41
  4. Step 4: Simplify right side
    260,093.97x = 68,812,581,942.68
  5. Step 5: Solve for x
    x = 68,812,581,942.68/260,093.97
  6. Step 6: Final answer
    x = 264,568.16

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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.