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Finding the Fourth Proportional to 100,200.50, 150,323.79 and 34,536.50

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Solution

The fourth proportional to 100,200.50, 150,323.79 and 34,536.50 is: 51,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.50 : 150,323.79 = 34,536.50 : x
  2. Step 2: Convert to fraction form
    100,200.50/150,323.79 = 34,536.50/x
  3. Step 3: Cross multiply
    100,200.50x = 150,323.79 × 34,536.50
  4. Step 4: Simplify right side
    100,200.50x = 5,191,657,573.34
  5. Step 5: Solve for x
    x = 5,191,657,573.34/100,200.50
  6. Step 6: Final answer
    x = 51,812.69

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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.