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Finding the Fourth Proportional to 244,877.96, 367,291.02 and 78,653

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Solution

The fourth proportional to 244,877.96, 367,291.02 and 78,653 is: 117,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,877.96 : 367,291.02 = 78,653 : x
  2. Step 2: Convert to fraction form
    244,877.96/367,291.02 = 78,653/x
  3. Step 3: Cross multiply
    244,877.96x = 367,291.02 × 78,653
  4. Step 4: Simplify right side
    244,877.96x = 28,888,540,596.06
  5. Step 5: Solve for x
    x = 28,888,540,596.06/244,877.96
  6. Step 6: Final answer
    x = 117,971.17

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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.