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Finding the Fourth Proportional to 115,114.33, 172,696.20 and 65,218.33

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Solution

The fourth proportional to 115,114.33, 172,696.20 and 65,218.33 is: 97,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114.33 : 172,696.20 = 65,218.33 : x
  2. Step 2: Convert to fraction form
    115,114.33/172,696.20 = 65,218.33/x
  3. Step 3: Cross multiply
    115,114.33x = 172,696.20 × 65,218.33
  4. Step 4: Simplify right side
    115,114.33x = 11,262,957,761.35
  5. Step 5: Solve for x
    x = 11,262,957,761.35/115,114.33
  6. Step 6: Final answer
    x = 97,841.49

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1.5x scale

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.