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Finding the Fourth Proportional to 123,415.65, 185,130.65 and 34,676.07

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Solution

The fourth proportional to 123,415.65, 185,130.65 and 34,676.07 is: 52,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415.65 : 185,130.65 = 34,676.07 : x
  2. Step 2: Convert to fraction form
    123,415.65/185,130.65 = 34,676.07/x
  3. Step 3: Cross multiply
    123,415.65x = 185,130.65 × 34,676.07
  4. Step 4: Simplify right side
    123,415.65x = 6,419,603,378.55
  5. Step 5: Solve for x
    x = 6,419,603,378.55/123,415.65
  6. Step 6: Final answer
    x = 52,016.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.