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Finding the Fourth Proportional to 549,132.07, 823,613.44 and 149,805.31

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Solution

The fourth proportional to 549,132.07, 823,613.44 and 149,805.31 is: 224,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,132.07 : 823,613.44 = 149,805.31 : x
  2. Step 2: Convert to fraction form
    549,132.07/823,613.44 = 149,805.31/x
  3. Step 3: Cross multiply
    549,132.07x = 823,613.44 × 149,805.31
  4. Step 4: Simplify right side
    549,132.07x = 123,381,666,699.37
  5. Step 5: Solve for x
    x = 123,381,666,699.37/549,132.07
  6. Step 6: Final answer
    x = 224,684.87

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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.