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Finding the Fourth Proportional to 260,762.82, 359,840.24 and 160,141.38

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Solution

The fourth proportional to 260,762.82, 359,840.24 and 160,141.38 is: 220,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,762.82 : 359,840.24 = 160,141.38 : x
  2. Step 2: Convert to fraction form
    260,762.82/359,840.24 = 160,141.38/x
  3. Step 3: Cross multiply
    260,762.82x = 359,840.24 × 160,141.38
  4. Step 4: Simplify right side
    260,762.82x = 57,625,312,613.13
  5. Step 5: Solve for x
    x = 57,625,312,613.13/260,762.82
  6. Step 6: Final answer
    x = 220,987.46

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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.