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Finding the Fourth Proportional to 105,601.47, 145,728.80 and 57,202.49

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Solution

The fourth proportional to 105,601.47, 145,728.80 and 57,202.49 is: 78,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,601.47 : 145,728.80 = 57,202.49 : x
  2. Step 2: Convert to fraction form
    105,601.47/145,728.80 = 57,202.49/x
  3. Step 3: Cross multiply
    105,601.47x = 145,728.80 × 57,202.49
  4. Step 4: Simplify right side
    105,601.47x = 8,336,049,210.06
  5. Step 5: Solve for x
    x = 8,336,049,210.06/105,601.47
  6. Step 6: Final answer
    x = 78,938.76

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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.