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Finding the Fourth Proportional to 213,337.84, 294,403.14 and 116,540.53

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Solution

The fourth proportional to 213,337.84, 294,403.14 and 116,540.53 is: 160,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,337.84 : 294,403.14 = 116,540.53 : x
  2. Step 2: Convert to fraction form
    213,337.84/294,403.14 = 116,540.53/x
  3. Step 3: Cross multiply
    213,337.84x = 294,403.14 × 116,540.53
  4. Step 4: Simplify right side
    213,337.84x = 34,309,897,969.26
  5. Step 5: Solve for x
    x = 34,309,897,969.26/213,337.84
  6. Step 6: Final answer
    x = 160,824.25

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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.