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Finding the Fourth Proportional to 133,402.56, 200,029.98 and 54,572.16

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Solution

The fourth proportional to 133,402.56, 200,029.98 and 54,572.16 is: 81,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,402.56 : 200,029.98 = 54,572.16 : x
  2. Step 2: Convert to fraction form
    133,402.56/200,029.98 = 54,572.16/x
  3. Step 3: Cross multiply
    133,402.56x = 200,029.98 × 54,572.16
  4. Step 4: Simplify right side
    133,402.56x = 10,916,068,073.36
  5. Step 5: Solve for x
    x = 10,916,068,073.36/133,402.56
  6. Step 6: Final answer
    x = 81,828.03

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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.