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Finding the Fourth Proportional to 232,645.85, 320,969.51 and 152,120.51

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Solution

The fourth proportional to 232,645.85, 320,969.51 and 152,120.51 is: 209,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,645.85 : 320,969.51 = 152,120.51 : x
  2. Step 2: Convert to fraction form
    232,645.85/320,969.51 = 152,120.51/x
  3. Step 3: Cross multiply
    232,645.85x = 320,969.51 × 152,120.51
  4. Step 4: Simplify right side
    232,645.85x = 48,826,043,190.20
  5. Step 5: Solve for x
    x = 48,826,043,190.20/232,645.85
  6. Step 6: Final answer
    x = 209,872.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.