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Finding the Fourth Proportional to 123,358.14, 185,093.51 and 67,113.90

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Solution

The fourth proportional to 123,358.14, 185,093.51 and 67,113.90 is: 100,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,358.14 : 185,093.51 = 67,113.90 : x
  2. Step 2: Convert to fraction form
    123,358.14/185,093.51 = 67,113.90/x
  3. Step 3: Cross multiply
    123,358.14x = 185,093.51 × 67,113.90
  4. Step 4: Simplify right side
    123,358.14x = 12,422,346,985.22
  5. Step 5: Solve for x
    x = 12,422,346,985.22/123,358.14
  6. Step 6: Final answer
    x = 100,701.48

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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.