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Finding the Fourth Proportional to 116,767, 161,142.30 and 63,775

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Solution

The fourth proportional to 116,767, 161,142.30 and 63,775 is: 88,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,767 : 161,142.30 = 63,775 : x
  2. Step 2: Convert to fraction form
    116,767/161,142.30 = 63,775/x
  3. Step 3: Cross multiply
    116,767x = 161,142.30 × 63,775
  4. Step 4: Simplify right side
    116,767x = 10,276,850,182.50
  5. Step 5: Solve for x
    x = 10,276,850,182.50/116,767
  6. Step 6: Final answer
    x = 88,011.60

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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.