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Finding the Fourth Proportional to 208,096.40, 312,144.60 and 89,998.40

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Solution

The fourth proportional to 208,096.40, 312,144.60 and 89,998.40 is: 134,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.40 : 312,144.60 = 89,998.40 : x
  2. Step 2: Convert to fraction form
    208,096.40/312,144.60 = 89,998.40/x
  3. Step 3: Cross multiply
    208,096.40x = 312,144.60 × 89,998.40
  4. Step 4: Simplify right side
    208,096.40x = 28,092,514,568.64
  5. Step 5: Solve for x
    x = 28,092,514,568.64/208,096.40
  6. Step 6: Final answer
    x = 134,997.60

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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.