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Finding the Fourth Proportional to 221,042.25, 305,038.35 and 120,440.25

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Solution

The fourth proportional to 221,042.25, 305,038.35 and 120,440.25 is: 166,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,042.25 : 305,038.35 = 120,440.25 : x
  2. Step 2: Convert to fraction form
    221,042.25/305,038.35 = 120,440.25/x
  3. Step 3: Cross multiply
    221,042.25x = 305,038.35 × 120,440.25
  4. Step 4: Simplify right side
    221,042.25x = 36,738,895,133.59
  5. Step 5: Solve for x
    x = 36,738,895,133.59/221,042.25
  6. Step 6: Final answer
    x = 166,207.57

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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.