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Finding the Fourth Proportional to 200,967.68, 277,316 and 120,393.92

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Solution

The fourth proportional to 200,967.68, 277,316 and 120,393.92 is: 166,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967.68 : 277,316 = 120,393.92 : x
  2. Step 2: Convert to fraction form
    200,967.68/277,316 = 120,393.92/x
  3. Step 3: Cross multiply
    200,967.68x = 277,316 × 120,393.92
  4. Step 4: Simplify right side
    200,967.68x = 33,387,160,318.72
  5. Step 5: Solve for x
    x = 33,387,160,318.72/200,967.68
  6. Step 6: Final answer
    x = 166,131.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.