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Finding the Fourth Proportional to 157,842.64, 217,786.98 and 94,168

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Solution

The fourth proportional to 157,842.64, 217,786.98 and 94,168 is: 129,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.64 : 217,786.98 = 94,168 : x
  2. Step 2: Convert to fraction form
    157,842.64/217,786.98 = 94,168/x
  3. Step 3: Cross multiply
    157,842.64x = 217,786.98 × 94,168
  4. Step 4: Simplify right side
    157,842.64x = 20,508,564,332.64
  5. Step 5: Solve for x
    x = 20,508,564,332.64/157,842.64
  6. Step 6: Final answer
    x = 129,930.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.