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Finding the Fourth Proportional to 214,098.60, 320,802.30 and 178,847.40

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Solution

The fourth proportional to 214,098.60, 320,802.30 and 178,847.40 is: 267,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,098.60 : 320,802.30 = 178,847.40 : x
  2. Step 2: Convert to fraction form
    214,098.60/320,802.30 = 178,847.40/x
  3. Step 3: Cross multiply
    214,098.60x = 320,802.30 × 178,847.40
  4. Step 4: Simplify right side
    214,098.60x = 57,374,657,269.02
  5. Step 5: Solve for x
    x = 57,374,657,269.02/214,098.60
  6. Step 6: Final answer
    x = 267,982.40

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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.