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Finding the Fourth Proportional to 133,396.32, 200,235.44 and 130,384.48

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Solution

The fourth proportional to 133,396.32, 200,235.44 and 130,384.48 is: 195,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396.32 : 200,235.44 = 130,384.48 : x
  2. Step 2: Convert to fraction form
    133,396.32/200,235.44 = 130,384.48/x
  3. Step 3: Cross multiply
    133,396.32x = 200,235.44 × 130,384.48
  4. Step 4: Simplify right side
    133,396.32x = 26,107,593,721.97
  5. Step 5: Solve for x
    x = 26,107,593,721.97/133,396.32
  6. Step 6: Final answer
    x = 195,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.