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Finding the Fourth Proportional to 200,732.67, 277,014.63 and 110,087.84

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Solution

The fourth proportional to 200,732.67, 277,014.63 and 110,087.84 is: 151,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732.67 : 277,014.63 = 110,087.84 : x
  2. Step 2: Convert to fraction form
    200,732.67/277,014.63 = 110,087.84/x
  3. Step 3: Cross multiply
    200,732.67x = 277,014.63 × 110,087.84
  4. Step 4: Simplify right side
    200,732.67x = 30,495,942,265.10
  5. Step 5: Solve for x
    x = 30,495,942,265.10/200,732.67
  6. Step 6: Final answer
    x = 151,923.16

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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.