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Finding the Fourth Proportional to 337,295.86, 505,888.38 and 121,109.86

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Solution

The fourth proportional to 337,295.86, 505,888.38 and 121,109.86 is: 181,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,295.86 : 505,888.38 = 121,109.86 : x
  2. Step 2: Convert to fraction form
    337,295.86/505,888.38 = 121,109.86/x
  3. Step 3: Cross multiply
    337,295.86x = 505,888.38 × 121,109.86
  4. Step 4: Simplify right side
    337,295.86x = 61,268,070,877.43
  5. Step 5: Solve for x
    x = 61,268,070,877.43/337,295.86
  6. Step 6: Final answer
    x = 181,644.89

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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.