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Finding the Fourth Proportional to 116,776.90, 161,118.78 and 65,771.78

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Solution

The fourth proportional to 116,776.90, 161,118.78 and 65,771.78 is: 90,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,776.90 : 161,118.78 = 65,771.78 : x
  2. Step 2: Convert to fraction form
    116,776.90/161,118.78 = 65,771.78/x
  3. Step 3: Cross multiply
    116,776.90x = 161,118.78 × 65,771.78
  4. Step 4: Simplify right side
    116,776.90x = 10,597,068,952.03
  5. Step 5: Solve for x
    x = 10,597,068,952.03/116,776.90
  6. Step 6: Final answer
    x = 90,746.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.