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Finding the Fourth Proportional to 136,828.76, 188,821.72 and 76,400.35

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Solution

The fourth proportional to 136,828.76, 188,821.72 and 76,400.35 is: 105,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,828.76 : 188,821.72 = 76,400.35 : x
  2. Step 2: Convert to fraction form
    136,828.76/188,821.72 = 76,400.35/x
  3. Step 3: Cross multiply
    136,828.76x = 188,821.72 × 76,400.35
  4. Step 4: Simplify right side
    136,828.76x = 14,426,045,119.05
  5. Step 5: Solve for x
    x = 14,426,045,119.05/136,828.76
  6. Step 6: Final answer
    x = 105,431.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.