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Finding the Fourth Proportional to 105,466.96, 145,544.07 and 57,720.70

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Solution

The fourth proportional to 105,466.96, 145,544.07 and 57,720.70 is: 79,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,466.96 : 145,544.07 = 57,720.70 : x
  2. Step 2: Convert to fraction form
    105,466.96/145,544.07 = 57,720.70/x
  3. Step 3: Cross multiply
    105,466.96x = 145,544.07 × 57,720.70
  4. Step 4: Simplify right side
    105,466.96x = 8,400,905,601.25
  5. Step 5: Solve for x
    x = 8,400,905,601.25/105,466.96
  6. Step 6: Final answer
    x = 79,654.38

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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.