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Finding the Fourth Proportional to 214,640.40, 322,106.40 and 119,870.40

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Solution

The fourth proportional to 214,640.40, 322,106.40 and 119,870.40 is: 179,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,640.40 : 322,106.40 = 119,870.40 : x
  2. Step 2: Convert to fraction form
    214,640.40/322,106.40 = 119,870.40/x
  3. Step 3: Cross multiply
    214,640.40x = 322,106.40 × 119,870.40
  4. Step 4: Simplify right side
    214,640.40x = 38,611,023,010.56
  5. Step 5: Solve for x
    x = 38,611,023,010.56/214,640.40
  6. Step 6: Final answer
    x = 179,887.03

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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.