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Finding the Fourth Proportional to 260,733.48, 359,817.30 and 170,147.40

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Solution

The fourth proportional to 260,733.48, 359,817.30 and 170,147.40 is: 234,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,733.48 : 359,817.30 = 170,147.40 : x
  2. Step 2: Convert to fraction form
    260,733.48/359,817.30 = 170,147.40/x
  3. Step 3: Cross multiply
    260,733.48x = 359,817.30 × 170,147.40
  4. Step 4: Simplify right side
    260,733.48x = 61,221,978,070.02
  5. Step 5: Solve for x
    x = 61,221,978,070.02/260,733.48
  6. Step 6: Final answer
    x = 234,806.74

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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.