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Finding the Fourth Proportional to 213,903.68, 295,187.16 and 117,113.80

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Solution

The fourth proportional to 213,903.68, 295,187.16 and 117,113.80 is: 161,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,903.68 : 295,187.16 = 117,113.80 : x
  2. Step 2: Convert to fraction form
    213,903.68/295,187.16 = 117,113.80/x
  3. Step 3: Cross multiply
    213,903.68x = 295,187.16 × 117,113.80
  4. Step 4: Simplify right side
    213,903.68x = 34,570,489,948.62
  5. Step 5: Solve for x
    x = 34,570,489,948.62/213,903.68
  6. Step 6: Final answer
    x = 161,617.09

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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.