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Finding the Fourth Proportional to 252,004.70, 378,062.37 and 185,242.41

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Solution

The fourth proportional to 252,004.70, 378,062.37 and 185,242.41 is: 277,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,004.70 : 378,062.37 = 185,242.41 : x
  2. Step 2: Convert to fraction form
    252,004.70/378,062.37 = 185,242.41/x
  3. Step 3: Cross multiply
    252,004.70x = 378,062.37 × 185,242.41
  4. Step 4: Simplify right side
    252,004.70x = 70,033,184,549.11
  5. Step 5: Solve for x
    x = 70,033,184,549.11/252,004.70
  6. Step 6: Final answer
    x = 277,904.28

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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.