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Finding the Fourth Proportional to 260,723.38, 359,798.26 and 141,491.38

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Solution

The fourth proportional to 260,723.38, 359,798.26 and 141,491.38 is: 195,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,723.38 : 359,798.26 = 141,491.38 : x
  2. Step 2: Convert to fraction form
    260,723.38/359,798.26 = 141,491.38/x
  3. Step 3: Cross multiply
    260,723.38x = 359,798.26 × 141,491.38
  4. Step 4: Simplify right side
    260,723.38x = 50,908,352,329.00
  5. Step 5: Solve for x
    x = 50,908,352,329.00/260,723.38
  6. Step 6: Final answer
    x = 195,258.10

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Why These Related Problems?

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