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Finding the Fourth Proportional to 252,313.85, 378,042.34 and 152,263.80

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Solution

The fourth proportional to 252,313.85, 378,042.34 and 152,263.80 is: 228,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,313.85 : 378,042.34 = 152,263.80 : x
  2. Step 2: Convert to fraction form
    252,313.85/378,042.34 = 152,263.80/x
  3. Step 3: Cross multiply
    252,313.85x = 378,042.34 × 152,263.80
  4. Step 4: Simplify right side
    252,313.85x = 57,562,162,868.63
  5. Step 5: Solve for x
    x = 57,562,162,868.63/252,313.85
  6. Step 6: Final answer
    x = 228,137.16

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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.