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Finding the Fourth Proportional to 78,107.50, 117,196.95 and 42,515.50

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Solution

The fourth proportional to 78,107.50, 117,196.95 and 42,515.50 is: 63,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.50 : 117,196.95 = 42,515.50 : x
  2. Step 2: Convert to fraction form
    78,107.50/117,196.95 = 42,515.50/x
  3. Step 3: Cross multiply
    78,107.50x = 117,196.95 × 42,515.50
  4. Step 4: Simplify right side
    78,107.50x = 4,982,686,927.73
  5. Step 5: Solve for x
    x = 4,982,686,927.73/78,107.50
  6. Step 6: Final answer
    x = 63,792.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.