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Finding the Fourth Proportional to 218,498.92, 301,534.14 and 123,009.03

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Solution

The fourth proportional to 218,498.92, 301,534.14 and 123,009.03 is: 169,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,498.92 : 301,534.14 = 123,009.03 : x
  2. Step 2: Convert to fraction form
    218,498.92/301,534.14 = 123,009.03/x
  3. Step 3: Cross multiply
    218,498.92x = 301,534.14 × 123,009.03
  4. Step 4: Simplify right side
    218,498.92x = 37,091,422,534.57
  5. Step 5: Solve for x
    x = 37,091,422,534.57/218,498.92
  6. Step 6: Final answer
    x = 169,755.64

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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.