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Finding the Fourth Proportional to 104,805.36, 157,182.12 and 65,342.16

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Solution

The fourth proportional to 104,805.36, 157,182.12 and 65,342.16 is: 97,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,805.36 : 157,182.12 = 65,342.16 : x
  2. Step 2: Convert to fraction form
    104,805.36/157,182.12 = 65,342.16/x
  3. Step 3: Cross multiply
    104,805.36x = 157,182.12 × 65,342.16
  4. Step 4: Simplify right side
    104,805.36x = 10,270,619,234.18
  5. Step 5: Solve for x
    x = 10,270,619,234.18/104,805.36
  6. Step 6: Final answer
    x = 97,997.08

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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.