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Finding the Fourth Proportional to 169,416.09, 233,790 and 96,814.38

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Solution

The fourth proportional to 169,416.09, 233,790 and 96,814.38 is: 133,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,416.09 : 233,790 = 96,814.38 : x
  2. Step 2: Convert to fraction form
    169,416.09/233,790 = 96,814.38/x
  3. Step 3: Cross multiply
    169,416.09x = 233,790 × 96,814.38
  4. Step 4: Simplify right side
    169,416.09x = 22,634,233,900.20
  5. Step 5: Solve for x
    x = 22,634,233,900.20/169,416.09
  6. Step 6: Final answer
    x = 133,601.44

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1.5x scale

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.