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Finding the Fourth Proportional to 105,098.24, 157,365.12 and 65,576.96

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Solution

The fourth proportional to 105,098.24, 157,365.12 and 65,576.96 is: 98,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.24 : 157,365.12 = 65,576.96 : x
  2. Step 2: Convert to fraction form
    105,098.24/157,365.12 = 65,576.96/x
  3. Step 3: Cross multiply
    105,098.24x = 157,365.12 × 65,576.96
  4. Step 4: Simplify right side
    105,098.24x = 10,319,526,179.64
  5. Step 5: Solve for x
    x = 10,319,526,179.64/105,098.24
  6. Step 6: Final answer
    x = 98,189.33

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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.