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Finding the Fourth Proportional to 214,095.60, 320,797.80 and 178,844.40

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Solution

The fourth proportional to 214,095.60, 320,797.80 and 178,844.40 is: 267,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,095.60 : 320,797.80 = 178,844.40 : x
  2. Step 2: Convert to fraction form
    214,095.60/320,797.80 = 178,844.40/x
  3. Step 3: Cross multiply
    214,095.60x = 320,797.80 × 178,844.40
  4. Step 4: Simplify right side
    214,095.60x = 57,372,890,062.32
  5. Step 5: Solve for x
    x = 57,372,890,062.32/214,095.60
  6. Step 6: Final answer
    x = 267,977.90

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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.