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Finding the Fourth Proportional to 174,514.90, 261,772.32 and 49,855.90

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Solution

The fourth proportional to 174,514.90, 261,772.32 and 49,855.90 is: 74,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,514.90 : 261,772.32 = 49,855.90 : x
  2. Step 2: Convert to fraction form
    174,514.90/261,772.32 = 49,855.90/x
  3. Step 3: Cross multiply
    174,514.90x = 261,772.32 × 49,855.90
  4. Step 4: Simplify right side
    174,514.90x = 13,050,894,608.69
  5. Step 5: Solve for x
    x = 13,050,894,608.69/174,514.90
  6. Step 6: Final answer
    x = 74,783.84

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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.