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Finding the Fourth Proportional to 194,973, 269,104.32 and 133,802.88

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Solution

The fourth proportional to 194,973, 269,104.32 and 133,802.88 is: 184,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,973 : 269,104.32 = 133,802.88 : x
  2. Step 2: Convert to fraction form
    194,973/269,104.32 = 133,802.88/x
  3. Step 3: Cross multiply
    194,973x = 269,104.32 × 133,802.88
  4. Step 4: Simplify right side
    194,973x = 36,006,933,036.44
  5. Step 5: Solve for x
    x = 36,006,933,036.44/194,973
  6. Step 6: Final answer
    x = 184,676.51

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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.