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Finding the Fourth Proportional to 133,838.49, 200,694.16 and 77,695.98

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Solution

The fourth proportional to 133,838.49, 200,694.16 and 77,695.98 is: 116,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,838.49 : 200,694.16 = 77,695.98 : x
  2. Step 2: Convert to fraction form
    133,838.49/200,694.16 = 77,695.98/x
  3. Step 3: Cross multiply
    133,838.49x = 200,694.16 × 77,695.98
  4. Step 4: Simplify right side
    133,838.49x = 15,593,129,441.48
  5. Step 5: Solve for x
    x = 15,593,129,441.48/133,838.49
  6. Step 6: Final answer
    x = 116,507.06

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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.