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Finding the Fourth Proportional to 203,852.34, 305,888.49 and 119,776.77

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Solution

The fourth proportional to 203,852.34, 305,888.49 and 119,776.77 is: 179,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,852.34 : 305,888.49 = 119,776.77 : x
  2. Step 2: Convert to fraction form
    203,852.34/305,888.49 = 119,776.77/x
  3. Step 3: Cross multiply
    203,852.34x = 305,888.49 × 119,776.77
  4. Step 4: Simplify right side
    203,852.34x = 36,638,335,312.38
  5. Step 5: Solve for x
    x = 36,638,335,312.38/203,852.34
  6. Step 6: Final answer
    x = 179,729.78

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1.5x scale

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.