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Finding the Fourth Proportional to 280,761.68, 421,363.44 and 130,924.76

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Solution

The fourth proportional to 280,761.68, 421,363.44 and 130,924.76 is: 196,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,761.68 : 421,363.44 = 130,924.76 : x
  2. Step 2: Convert to fraction form
    280,761.68/421,363.44 = 130,924.76/x
  3. Step 3: Cross multiply
    280,761.68x = 421,363.44 × 130,924.76
  4. Step 4: Simplify right side
    280,761.68x = 55,166,907,254.77
  5. Step 5: Solve for x
    x = 55,166,907,254.77/280,761.68
  6. Step 6: Final answer
    x = 196,490.16

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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.