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Finding the Fourth Proportional to 185,400, 277,935.05 and 67,045.03

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Solution

The fourth proportional to 185,400, 277,935.05 and 67,045.03 is: 100,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,400 : 277,935.05 = 67,045.03 : x
  2. Step 2: Convert to fraction form
    185,400/277,935.05 = 67,045.03/x
  3. Step 3: Cross multiply
    185,400x = 277,935.05 × 67,045.03
  4. Step 4: Simplify right side
    185,400x = 18,634,163,238.08
  5. Step 5: Solve for x
    x = 18,634,163,238.08/185,400
  6. Step 6: Final answer
    x = 100,507.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.