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Finding the Fourth Proportional to 136,893.69, 205,341.75 and 48,147.89

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Solution

The fourth proportional to 136,893.69, 205,341.75 and 48,147.89 is: 72,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,893.69 : 205,341.75 = 48,147.89 : x
  2. Step 2: Convert to fraction form
    136,893.69/205,341.75 = 48,147.89/x
  3. Step 3: Cross multiply
    136,893.69x = 205,341.75 × 48,147.89
  4. Step 4: Simplify right side
    136,893.69x = 9,886,770,964.70
  5. Step 5: Solve for x
    x = 9,886,770,964.70/136,893.69
  6. Step 6: Final answer
    x = 72,222.25

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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.