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Finding the Fourth Proportional to 260,789.96, 359,806.02 and 146,051.48

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Solution

The fourth proportional to 260,789.96, 359,806.02 and 146,051.48 is: 201,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,789.96 : 359,806.02 = 146,051.48 : x
  2. Step 2: Convert to fraction form
    260,789.96/359,806.02 = 146,051.48/x
  3. Step 3: Cross multiply
    260,789.96x = 359,806.02 × 146,051.48
  4. Step 4: Simplify right side
    260,789.96x = 52,550,201,733.91
  5. Step 5: Solve for x
    x = 52,550,201,733.91/260,789.96
  6. Step 6: Final answer
    x = 201,503.93

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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.