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Finding the Fourth Proportional to 221,039.76, 305,034.90 and 120,437.76

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Solution

The fourth proportional to 221,039.76, 305,034.90 and 120,437.76 is: 166,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,039.76 : 305,034.90 = 120,437.76 : x
  2. Step 2: Convert to fraction form
    221,039.76/305,034.90 = 120,437.76/x
  3. Step 3: Cross multiply
    221,039.76x = 305,034.90 × 120,437.76
  4. Step 4: Simplify right side
    221,039.76x = 36,737,720,077.82
  5. Step 5: Solve for x
    x = 36,737,720,077.82/221,039.76
  6. Step 6: Final answer
    x = 166,204.13

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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.