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Finding the Fourth Proportional to 133,656, 200,328.48 and 54,674.52

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Solution

The fourth proportional to 133,656, 200,328.48 and 54,674.52 is: 81,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,656 : 200,328.48 = 54,674.52 : x
  2. Step 2: Convert to fraction form
    133,656/200,328.48 = 54,674.52/x
  3. Step 3: Cross multiply
    133,656x = 200,328.48 × 54,674.52
  4. Step 4: Simplify right side
    133,656x = 10,952,863,486.33
  5. Step 5: Solve for x
    x = 10,952,863,486.33/133,656
  6. Step 6: Final answer
    x = 81,948.16

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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.