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Finding the Fourth Proportional to 227,900.98, 314,426.37 and 132,329.08

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Solution

The fourth proportional to 227,900.98, 314,426.37 and 132,329.08 is: 182,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,900.98 : 314,426.37 = 132,329.08 : x
  2. Step 2: Convert to fraction form
    227,900.98/314,426.37 = 132,329.08/x
  3. Step 3: Cross multiply
    227,900.98x = 314,426.37 × 132,329.08
  4. Step 4: Simplify right side
    227,900.98x = 41,607,752,269.84
  5. Step 5: Solve for x
    x = 41,607,752,269.84/227,900.98
  6. Step 6: Final answer
    x = 182,569.43

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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.