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Finding the Fourth Proportional to 260,550.24, 359,552.96 and 145,830.40

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Solution

The fourth proportional to 260,550.24, 359,552.96 and 145,830.40 is: 201,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,550.24 : 359,552.96 = 145,830.40 : x
  2. Step 2: Convert to fraction form
    260,550.24/359,552.96 = 145,830.40/x
  3. Step 3: Cross multiply
    260,550.24x = 359,552.96 × 145,830.40
  4. Step 4: Simplify right side
    260,550.24x = 52,433,751,977.98
  5. Step 5: Solve for x
    x = 52,433,751,977.98/260,550.24
  6. Step 6: Final answer
    x = 201,242.39

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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.