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Finding the Fourth Proportional to 260,745.23, 359,798.66 and 146,007.92

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Solution

The fourth proportional to 260,745.23, 359,798.66 and 146,007.92 is: 201,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,745.23 : 359,798.66 = 146,007.92 : x
  2. Step 2: Convert to fraction form
    260,745.23/359,798.66 = 146,007.92/x
  3. Step 3: Cross multiply
    260,745.23x = 359,798.66 × 146,007.92
  4. Step 4: Simplify right side
    260,745.23x = 52,533,453,965.39
  5. Step 5: Solve for x
    x = 52,533,453,965.39/260,745.23
  6. Step 6: Final answer
    x = 201,474.27

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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.