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Finding the Fourth Proportional to 260,941, 360,098.82 and 141,709

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Solution

The fourth proportional to 260,941, 360,098.82 and 141,709 is: 195,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,941 : 360,098.82 = 141,709 : x
  2. Step 2: Convert to fraction form
    260,941/360,098.82 = 141,709/x
  3. Step 3: Cross multiply
    260,941x = 360,098.82 × 141,709
  4. Step 4: Simplify right side
    260,941x = 51,029,243,683.38
  5. Step 5: Solve for x
    x = 51,029,243,683.38/260,941
  6. Step 6: Final answer
    x = 195,558.55

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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.