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Finding the Fourth Proportional to 185,952.36, 278,928.95 and 51,018.38

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Solution

The fourth proportional to 185,952.36, 278,928.95 and 51,018.38 is: 76,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,952.36 : 278,928.95 = 51,018.38 : x
  2. Step 2: Convert to fraction form
    185,952.36/278,928.95 = 51,018.38/x
  3. Step 3: Cross multiply
    185,952.36x = 278,928.95 × 51,018.38
  4. Step 4: Simplify right side
    185,952.36x = 14,230,503,164.10
  5. Step 5: Solve for x
    x = 14,230,503,164.10/185,952.36
  6. Step 6: Final answer
    x = 76,527.68

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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.