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Finding the Fourth Proportional to 114,147.40, 157,196.82 and 82,265.80

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Solution

The fourth proportional to 114,147.40, 157,196.82 and 82,265.80 is: 113,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,147.40 : 157,196.82 = 82,265.80 : x
  2. Step 2: Convert to fraction form
    114,147.40/157,196.82 = 82,265.80/x
  3. Step 3: Cross multiply
    114,147.40x = 157,196.82 × 82,265.80
  4. Step 4: Simplify right side
    114,147.40x = 12,931,922,154.76
  5. Step 5: Solve for x
    x = 12,931,922,154.76/114,147.40
  6. Step 6: Final answer
    x = 113,291.43

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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.