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Finding the Fourth Proportional to 78,513.53, 118,197.38 and 71,538.41

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Solution

The fourth proportional to 78,513.53, 118,197.38 and 71,538.41 is: 107,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,513.53 : 118,197.38 = 71,538.41 : x
  2. Step 2: Convert to fraction form
    78,513.53/118,197.38 = 71,538.41/x
  3. Step 3: Cross multiply
    78,513.53x = 118,197.38 × 71,538.41
  4. Step 4: Simplify right side
    78,513.53x = 8,455,653,105.71
  5. Step 5: Solve for x
    x = 8,455,653,105.71/78,513.53
  6. Step 6: Final answer
    x = 107,696.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.