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Finding the Fourth Proportional to 312,722.67, 469,084.01 and 76,065.51

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Solution

The fourth proportional to 312,722.67, 469,084.01 and 76,065.51 is: 114,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,722.67 : 469,084.01 = 76,065.51 : x
  2. Step 2: Convert to fraction form
    312,722.67/469,084.01 = 76,065.51/x
  3. Step 3: Cross multiply
    312,722.67x = 469,084.01 × 76,065.51
  4. Step 4: Simplify right side
    312,722.67x = 35,681,114,453.50
  5. Step 5: Solve for x
    x = 35,681,114,453.50/312,722.67
  6. Step 6: Final answer
    x = 114,098.27

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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.