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Finding the Fourth Proportional to 312,173.90, 468,213.33 and 101,811.50

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Solution

The fourth proportional to 312,173.90, 468,213.33 and 101,811.50 is: 152,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,173.90 : 468,213.33 = 101,811.50 : x
  2. Step 2: Convert to fraction form
    312,173.90/468,213.33 = 101,811.50/x
  3. Step 3: Cross multiply
    312,173.90x = 468,213.33 × 101,811.50
  4. Step 4: Simplify right side
    312,173.90x = 47,669,501,447.30
  5. Step 5: Solve for x
    x = 47,669,501,447.30/312,173.90
  6. Step 6: Final answer
    x = 152,701.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.