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Finding the Fourth Proportional to 270,491.50, 405,830.76 and 102,060.10

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Solution

The fourth proportional to 270,491.50, 405,830.76 and 102,060.10 is: 153,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,491.50 : 405,830.76 = 102,060.10 : x
  2. Step 2: Convert to fraction form
    270,491.50/405,830.76 = 102,060.10/x
  3. Step 3: Cross multiply
    270,491.50x = 405,830.76 × 102,060.10
  4. Step 4: Simplify right side
    270,491.50x = 41,419,127,948.68
  5. Step 5: Solve for x
    x = 41,419,127,948.68/270,491.50
  6. Step 6: Final answer
    x = 153,125.43

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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.