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Finding the Fourth Proportional to 260,707.25, 359,776.01 and 141,475.25

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Solution

The fourth proportional to 260,707.25, 359,776.01 and 141,475.25 is: 195,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,707.25 : 359,776.01 = 141,475.25 : x
  2. Step 2: Convert to fraction form
    260,707.25/359,776.01 = 141,475.25/x
  3. Step 3: Cross multiply
    260,707.25x = 359,776.01 × 141,475.25
  4. Step 4: Simplify right side
    260,707.25x = 50,899,400,958.75
  5. Step 5: Solve for x
    x = 50,899,400,958.75/260,707.25
  6. Step 6: Final answer
    x = 195,235.85

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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.