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Finding the Fourth Proportional to 157,843.64, 217,788.36 and 94,169

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Solution

The fourth proportional to 157,843.64, 217,788.36 and 94,169 is: 129,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,843.64 : 217,788.36 = 94,169 : x
  2. Step 2: Convert to fraction form
    157,843.64/217,788.36 = 94,169/x
  3. Step 3: Cross multiply
    157,843.64x = 217,788.36 × 94,169
  4. Step 4: Simplify right side
    157,843.64x = 20,508,912,072.84
  5. Step 5: Solve for x
    x = 20,508,912,072.84/157,843.64
  6. Step 6: Final answer
    x = 129,931.82

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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.