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Finding the Fourth Proportional to 140,155.72, 193,415.58 and 76,495

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Solution

The fourth proportional to 140,155.72, 193,415.58 and 76,495 is: 105,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,155.72 : 193,415.58 = 76,495 : x
  2. Step 2: Convert to fraction form
    140,155.72/193,415.58 = 76,495/x
  3. Step 3: Cross multiply
    140,155.72x = 193,415.58 × 76,495
  4. Step 4: Simplify right side
    140,155.72x = 14,795,324,792.10
  5. Step 5: Solve for x
    x = 14,795,324,792.10/140,155.72
  6. Step 6: Final answer
    x = 105,563.47

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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.