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Finding the Fourth Proportional to 296,023.60, 443,525.10 and 137,927.80

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Solution

The fourth proportional to 296,023.60, 443,525.10 and 137,927.80 is: 206,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,023.60 : 443,525.10 = 137,927.80 : x
  2. Step 2: Convert to fraction form
    296,023.60/443,525.10 = 137,927.80/x
  3. Step 3: Cross multiply
    296,023.60x = 443,525.10 × 137,927.80
  4. Step 4: Simplify right side
    296,023.60x = 61,174,441,287.78
  5. Step 5: Solve for x
    x = 61,174,441,287.78/296,023.60
  6. Step 6: Final answer
    x = 206,653.93

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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.