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Finding the Fourth Proportional to 136,734.50, 205,101.75 and 36,894.69

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Solution

The fourth proportional to 136,734.50, 205,101.75 and 36,894.69 is: 55,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,734.50 : 205,101.75 = 36,894.69 : x
  2. Step 2: Convert to fraction form
    136,734.50/205,101.75 = 36,894.69/x
  3. Step 3: Cross multiply
    136,734.50x = 205,101.75 × 36,894.69
  4. Step 4: Simplify right side
    136,734.50x = 7,567,165,484.71
  5. Step 5: Solve for x
    x = 7,567,165,484.71/136,734.50
  6. Step 6: Final answer
    x = 55,342.04

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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.