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Finding the Fourth Proportional to 78,537.40, 117,272.61 and 76,409.12

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Solution

The fourth proportional to 78,537.40, 117,272.61 and 76,409.12 is: 114,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537.40 : 117,272.61 = 76,409.12 : x
  2. Step 2: Convert to fraction form
    78,537.40/117,272.61 = 76,409.12/x
  3. Step 3: Cross multiply
    78,537.40x = 117,272.61 × 76,409.12
  4. Step 4: Simplify right side
    78,537.40x = 8,960,697,223.38
  5. Step 5: Solve for x
    x = 8,960,697,223.38/78,537.40
  6. Step 6: Final answer
    x = 114,094.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.