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Finding the Fourth Proportional to 104,492.50, 144,195.80 and 56,744.82

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Solution

The fourth proportional to 104,492.50, 144,195.80 and 56,744.82 is: 78,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,492.50 : 144,195.80 = 56,744.82 : x
  2. Step 2: Convert to fraction form
    104,492.50/144,195.80 = 56,744.82/x
  3. Step 3: Cross multiply
    104,492.50x = 144,195.80 × 56,744.82
  4. Step 4: Simplify right side
    104,492.50x = 8,182,364,432.03
  5. Step 5: Solve for x
    x = 8,182,364,432.03/104,492.50
  6. Step 6: Final answer
    x = 78,305.76

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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.