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Finding the Fourth Proportional to 144,492.86, 199,401.35 and 84,098.45

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Solution

The fourth proportional to 144,492.86, 199,401.35 and 84,098.45 is: 116,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,492.86 : 199,401.35 = 84,098.45 : x
  2. Step 2: Convert to fraction form
    144,492.86/199,401.35 = 84,098.45/x
  3. Step 3: Cross multiply
    144,492.86x = 199,401.35 × 84,098.45
  4. Step 4: Simplify right side
    144,492.86x = 16,769,344,540.92
  5. Step 5: Solve for x
    x = 16,769,344,540.92/144,492.86
  6. Step 6: Final answer
    x = 116,056.56

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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.