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Finding the Fourth Proportional to 221,404.14, 305,537.54 and 120,802.14

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Solution

The fourth proportional to 221,404.14, 305,537.54 and 120,802.14 is: 166,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404.14 : 305,537.54 = 120,802.14 : x
  2. Step 2: Convert to fraction form
    221,404.14/305,537.54 = 120,802.14/x
  3. Step 3: Cross multiply
    221,404.14x = 305,537.54 × 120,802.14
  4. Step 4: Simplify right side
    221,404.14x = 36,909,588,078.32
  5. Step 5: Solve for x
    x = 36,909,588,078.32/221,404.14
  6. Step 6: Final answer
    x = 166,706.86

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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.