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Finding the Fourth Proportional to 105,600.36, 145,728.62 and 57,202.40

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Solution

The fourth proportional to 105,600.36, 145,728.62 and 57,202.40 is: 78,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,600.36 : 145,728.62 = 57,202.40 : x
  2. Step 2: Convert to fraction form
    105,600.36/145,728.62 = 57,202.40/x
  3. Step 3: Cross multiply
    105,600.36x = 145,728.62 × 57,202.40
  4. Step 4: Simplify right side
    105,600.36x = 8,336,026,812.69
  5. Step 5: Solve for x
    x = 8,336,026,812.69/105,600.36
  6. Step 6: Final answer
    x = 78,939.38

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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.