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Finding the Fourth Proportional to 273,802.10, 410,764.35 and 96,314.90

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Solution

The fourth proportional to 273,802.10, 410,764.35 and 96,314.90 is: 144,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,802.10 : 410,764.35 = 96,314.90 : x
  2. Step 2: Convert to fraction form
    273,802.10/410,764.35 = 96,314.90/x
  3. Step 3: Cross multiply
    273,802.10x = 410,764.35 × 96,314.90
  4. Step 4: Simplify right side
    273,802.10x = 39,562,727,293.82
  5. Step 5: Solve for x
    x = 39,562,727,293.82/273,802.10
  6. Step 6: Final answer
    x = 144,493.88

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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.