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Finding the Fourth Proportional to 108,020.80, 161,747.70 and 76,259.35

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Solution

The fourth proportional to 108,020.80, 161,747.70 and 76,259.35 is: 114,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,020.80 : 161,747.70 = 76,259.35 : x
  2. Step 2: Convert to fraction form
    108,020.80/161,747.70 = 76,259.35/x
  3. Step 3: Cross multiply
    108,020.80x = 161,747.70 × 76,259.35
  4. Step 4: Simplify right side
    108,020.80x = 12,334,774,466.00
  5. Step 5: Solve for x
    x = 12,334,774,466.00/108,020.80
  6. Step 6: Final answer
    x = 114,188.88

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Why These Related Problems?

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