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Finding the Fourth Proportional to 260,556, 359,567.40 and 147,376.32

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Solution

The fourth proportional to 260,556, 359,567.40 and 147,376.32 is: 203,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,556 : 359,567.40 = 147,376.32 : x
  2. Step 2: Convert to fraction form
    260,556/359,567.40 = 147,376.32/x
  3. Step 3: Cross multiply
    260,556x = 359,567.40 × 147,376.32
  4. Step 4: Simplify right side
    260,556x = 52,991,720,203.97
  5. Step 5: Solve for x
    x = 52,991,720,203.97/260,556
  6. Step 6: Final answer
    x = 203,379.39

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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.