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Finding the Fourth Proportional to 116,772, 161,145.36 and 63,780

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Solution

The fourth proportional to 116,772, 161,145.36 and 63,780 is: 88,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,772 : 161,145.36 = 63,780 : x
  2. Step 2: Convert to fraction form
    116,772/161,145.36 = 63,780/x
  3. Step 3: Cross multiply
    116,772x = 161,145.36 × 63,780
  4. Step 4: Simplify right side
    116,772x = 10,277,851,060.80
  5. Step 5: Solve for x
    x = 10,277,851,060.80/116,772
  6. Step 6: Final answer
    x = 88,016.40

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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.