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Finding the Fourth Proportional to 260,762.69, 359,822.76 and 146,025.38

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Solution

The fourth proportional to 260,762.69, 359,822.76 and 146,025.38 is: 201,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,762.69 : 359,822.76 = 146,025.38 : x
  2. Step 2: Convert to fraction form
    260,762.69/359,822.76 = 146,025.38/x
  3. Step 3: Cross multiply
    260,762.69x = 359,822.76 × 146,025.38
  4. Step 4: Simplify right side
    260,762.69x = 52,543,255,613.61
  5. Step 5: Solve for x
    x = 52,543,255,613.61/260,762.69
  6. Step 6: Final answer
    x = 201,498.36

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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.