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Finding the Fourth Proportional to 214,892.80, 322,339.20 and 109,916.80

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Solution

The fourth proportional to 214,892.80, 322,339.20 and 109,916.80 is: 164,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,892.80 : 322,339.20 = 109,916.80 : x
  2. Step 2: Convert to fraction form
    214,892.80/322,339.20 = 109,916.80/x
  3. Step 3: Cross multiply
    214,892.80x = 322,339.20 × 109,916.80
  4. Step 4: Simplify right side
    214,892.80x = 35,430,493,378.56
  5. Step 5: Solve for x
    x = 35,430,493,378.56/214,892.80
  6. Step 6: Final answer
    x = 164,875.20

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1.5x scale

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.