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Finding the Fourth Proportional to 218,113.57, 300,993.76 and 121,316.50

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Solution

The fourth proportional to 218,113.57, 300,993.76 and 121,316.50 is: 167,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,113.57 : 300,993.76 = 121,316.50 : x
  2. Step 2: Convert to fraction form
    218,113.57/300,993.76 = 121,316.50/x
  3. Step 3: Cross multiply
    218,113.57x = 300,993.76 × 121,316.50
  4. Step 4: Simplify right side
    218,113.57x = 36,515,509,485.04
  5. Step 5: Solve for x
    x = 36,515,509,485.04/218,113.57
  6. Step 6: Final answer
    x = 167,415.12

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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.