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Finding the Fourth Proportional to 214,672.60, 322,008.90 and 109,696.60

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Solution

The fourth proportional to 214,672.60, 322,008.90 and 109,696.60 is: 164,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,672.60 : 322,008.90 = 109,696.60 : x
  2. Step 2: Convert to fraction form
    214,672.60/322,008.90 = 109,696.60/x
  3. Step 3: Cross multiply
    214,672.60x = 322,008.90 × 109,696.60
  4. Step 4: Simplify right side
    214,672.60x = 35,323,281,499.74
  5. Step 5: Solve for x
    x = 35,323,281,499.74/214,672.60
  6. Step 6: Final answer
    x = 164,544.90

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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.