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Finding the Fourth Proportional to 260,916, 360,064.08 and 141,684

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Solution

The fourth proportional to 260,916, 360,064.08 and 141,684 is: 195,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,916 : 360,064.08 = 141,684 : x
  2. Step 2: Convert to fraction form
    260,916/360,064.08 = 141,684/x
  3. Step 3: Cross multiply
    260,916x = 360,064.08 × 141,684
  4. Step 4: Simplify right side
    260,916x = 51,015,319,110.72
  5. Step 5: Solve for x
    x = 51,015,319,110.72/260,916
  6. Step 6: Final answer
    x = 195,523.92

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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.