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Finding the Fourth Proportional to 116,203.46, 160,376.86 and 65,219.23

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Solution

The fourth proportional to 116,203.46, 160,376.86 and 65,219.23 is: 90,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,203.46 : 160,376.86 = 65,219.23 : x
  2. Step 2: Convert to fraction form
    116,203.46/160,376.86 = 65,219.23/x
  3. Step 3: Cross multiply
    116,203.46x = 160,376.86 × 65,219.23
  4. Step 4: Simplify right side
    116,203.46x = 10,459,654,698.89
  5. Step 5: Solve for x
    x = 10,459,654,698.89/116,203.46
  6. Step 6: Final answer
    x = 90,011.56

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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.