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Finding the Fourth Proportional to 102,615.77, 141,608.38 and 57,294.45

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Solution

The fourth proportional to 102,615.77, 141,608.38 and 57,294.45 is: 79,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,615.77 : 141,608.38 = 57,294.45 : x
  2. Step 2: Convert to fraction form
    102,615.77/141,608.38 = 57,294.45/x
  3. Step 3: Cross multiply
    102,615.77x = 141,608.38 × 57,294.45
  4. Step 4: Simplify right side
    102,615.77x = 8,113,373,252.98
  5. Step 5: Solve for x
    x = 8,113,373,252.98/102,615.77
  6. Step 6: Final answer
    x = 79,065.56

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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.