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Finding the Fourth Proportional to 248,834.13, 343,390.89 and 135,656.88

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Solution

The fourth proportional to 248,834.13, 343,390.89 and 135,656.88 is: 187,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,834.13 : 343,390.89 = 135,656.88 : x
  2. Step 2: Convert to fraction form
    248,834.13/343,390.89 = 135,656.88/x
  3. Step 3: Cross multiply
    248,834.13x = 343,390.89 × 135,656.88
  4. Step 4: Simplify right side
    248,834.13x = 46,583,335,978.82
  5. Step 5: Solve for x
    x = 46,583,335,978.82/248,834.13
  6. Step 6: Final answer
    x = 187,206.38

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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.