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Finding the Fourth Proportional to 260,577.26, 359,593.19 and 147,400.01

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Solution

The fourth proportional to 260,577.26, 359,593.19 and 147,400.01 is: 203,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,577.26 : 359,593.19 = 147,400.01 : x
  2. Step 2: Convert to fraction form
    260,577.26/359,593.19 = 147,400.01/x
  3. Step 3: Cross multiply
    260,577.26x = 359,593.19 × 147,400.01
  4. Step 4: Simplify right side
    260,577.26x = 53,004,039,801.93
  5. Step 5: Solve for x
    x = 53,004,039,801.93/260,577.26
  6. Step 6: Final answer
    x = 203,410.07

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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.