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Finding the Fourth Proportional to 226,757, 312,924.66 and 126,155

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Solution

The fourth proportional to 226,757, 312,924.66 and 126,155 is: 174,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,757 : 312,924.66 = 126,155 : x
  2. Step 2: Convert to fraction form
    226,757/312,924.66 = 126,155/x
  3. Step 3: Cross multiply
    226,757x = 312,924.66 × 126,155
  4. Step 4: Simplify right side
    226,757x = 39,477,010,482.30
  5. Step 5: Solve for x
    x = 39,477,010,482.30/226,757
  6. Step 6: Final answer
    x = 174,093.90

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