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Finding the Fourth Proportional to 105,710.42, 145,887.18 and 69,837.60

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Solution

The fourth proportional to 105,710.42, 145,887.18 and 69,837.60 is: 96,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,710.42 : 145,887.18 = 69,837.60 : x
  2. Step 2: Convert to fraction form
    105,710.42/145,887.18 = 69,837.60/x
  3. Step 3: Cross multiply
    105,710.42x = 145,887.18 × 69,837.60
  4. Step 4: Simplify right side
    105,710.42x = 10,188,410,521.97
  5. Step 5: Solve for x
    x = 10,188,410,521.97/105,710.42
  6. Step 6: Final answer
    x = 96,380.38

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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.