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Finding the Fourth Proportional to 214,845.97, 296,482.11 and 119,352.90

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Solution

The fourth proportional to 214,845.97, 296,482.11 and 119,352.90 is: 164,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,845.97 : 296,482.11 = 119,352.90 : x
  2. Step 2: Convert to fraction form
    214,845.97/296,482.11 = 119,352.90/x
  3. Step 3: Cross multiply
    214,845.97x = 296,482.11 × 119,352.90
  4. Step 4: Simplify right side
    214,845.97x = 35,385,999,626.62
  5. Step 5: Solve for x
    x = 35,385,999,626.62/214,845.97
  6. Step 6: Final answer
    x = 164,704.04

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1.5x scale

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.