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Finding the Fourth Proportional to 194,857.84, 269,085.54 and 143,419.60

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Solution

The fourth proportional to 194,857.84, 269,085.54 and 143,419.60 is: 198,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,857.84 : 269,085.54 = 143,419.60 : x
  2. Step 2: Convert to fraction form
    194,857.84/269,085.54 = 143,419.60/x
  3. Step 3: Cross multiply
    194,857.84x = 269,085.54 × 143,419.60
  4. Step 4: Simplify right side
    194,857.84x = 38,592,140,512.58
  5. Step 5: Solve for x
    x = 38,592,140,512.58/194,857.84
  6. Step 6: Final answer
    x = 198,052.80

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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.