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Finding the Fourth Proportional to 151,907.60, 227,861.40 and 107,584.40

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Solution

The fourth proportional to 151,907.60, 227,861.40 and 107,584.40 is: 161,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,907.60 : 227,861.40 = 107,584.40 : x
  2. Step 2: Convert to fraction form
    151,907.60/227,861.40 = 107,584.40/x
  3. Step 3: Cross multiply
    151,907.60x = 227,861.40 × 107,584.40
  4. Step 4: Simplify right side
    151,907.60x = 24,514,332,002.16
  5. Step 5: Solve for x
    x = 24,514,332,002.16/151,907.60
  6. Step 6: Final answer
    x = 161,376.60

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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.