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Finding the Fourth Proportional to 270,924.68, 406,636.50 and 137,900

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Solution

The fourth proportional to 270,924.68, 406,636.50 and 137,900 is: 206,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924.68 : 406,636.50 = 137,900 : x
  2. Step 2: Convert to fraction form
    270,924.68/406,636.50 = 137,900/x
  3. Step 3: Cross multiply
    270,924.68x = 406,636.50 × 137,900
  4. Step 4: Simplify right side
    270,924.68x = 56,075,173,350
  5. Step 5: Solve for x
    x = 56,075,173,350/270,924.68
  6. Step 6: Final answer
    x = 206,976.98

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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.