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Finding the Fourth Proportional to 122,514.47, 169,064.73 and 71,530.03

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Solution

The fourth proportional to 122,514.47, 169,064.73 and 71,530.03 is: 98,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,514.47 : 169,064.73 = 71,530.03 : x
  2. Step 2: Convert to fraction form
    122,514.47/169,064.73 = 71,530.03/x
  3. Step 3: Cross multiply
    122,514.47x = 169,064.73 × 71,530.03
  4. Step 4: Simplify right side
    122,514.47x = 12,093,205,208.84
  5. Step 5: Solve for x
    x = 12,093,205,208.84/122,514.47
  6. Step 6: Final answer
    x = 98,708.38

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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.