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Finding the Fourth Proportional to 295,762.88, 443,940.24 and 138,102.32

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Solution

The fourth proportional to 295,762.88, 443,940.24 and 138,102.32 is: 207,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,762.88 : 443,940.24 = 138,102.32 : x
  2. Step 2: Convert to fraction form
    295,762.88/443,940.24 = 138,102.32/x
  3. Step 3: Cross multiply
    295,762.88x = 443,940.24 × 138,102.32
  4. Step 4: Simplify right side
    295,762.88x = 61,309,177,085.36
  5. Step 5: Solve for x
    x = 61,309,177,085.36/295,762.88
  6. Step 6: Final answer
    x = 207,291.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.