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Finding the Fourth Proportional to 213,720.50, 294,908.77 and 118,214.21

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Solution

The fourth proportional to 213,720.50, 294,908.77 and 118,214.21 is: 163,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,720.50 : 294,908.77 = 118,214.21 : x
  2. Step 2: Convert to fraction form
    213,720.50/294,908.77 = 118,214.21/x
  3. Step 3: Cross multiply
    213,720.50x = 294,908.77 × 118,214.21
  4. Step 4: Simplify right side
    213,720.50x = 34,862,407,267.62
  5. Step 5: Solve for x
    x = 34,862,407,267.62/213,720.50
  6. Step 6: Final answer
    x = 163,121.49

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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.