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Finding the Fourth Proportional to 270,312.26, 405,405.51 and 101,849.47

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Solution

The fourth proportional to 270,312.26, 405,405.51 and 101,849.47 is: 152,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,312.26 : 405,405.51 = 101,849.47 : x
  2. Step 2: Convert to fraction form
    270,312.26/405,405.51 = 101,849.47/x
  3. Step 3: Cross multiply
    270,312.26x = 405,405.51 × 101,849.47
  4. Step 4: Simplify right side
    270,312.26x = 41,290,334,933.13
  5. Step 5: Solve for x
    x = 41,290,334,933.13/270,312.26
  6. Step 6: Final answer
    x = 152,750.51

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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.