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Finding the Fourth Proportional to 252,313.74, 377,945.73 and 119,300.40

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Solution

The fourth proportional to 252,313.74, 377,945.73 and 119,300.40 is: 178,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,313.74 : 377,945.73 = 119,300.40 : x
  2. Step 2: Convert to fraction form
    252,313.74/377,945.73 = 119,300.40/x
  3. Step 3: Cross multiply
    252,313.74x = 377,945.73 × 119,300.40
  4. Step 4: Simplify right side
    252,313.74x = 45,089,076,767.29
  5. Step 5: Solve for x
    x = 45,089,076,767.29/252,313.74
  6. Step 6: Final answer
    x = 178,702.42

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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.