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Finding the Fourth Proportional to 277,720.11, 383,145.25 and 161,414.25

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Solution

The fourth proportional to 277,720.11, 383,145.25 and 161,414.25 is: 222,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,720.11 : 383,145.25 = 161,414.25 : x
  2. Step 2: Convert to fraction form
    277,720.11/383,145.25 = 161,414.25/x
  3. Step 3: Cross multiply
    277,720.11x = 383,145.25 × 161,414.25
  4. Step 4: Simplify right side
    277,720.11x = 61,845,102,362.74
  5. Step 5: Solve for x
    x = 61,845,102,362.74/277,720.11
  6. Step 6: Final answer
    x = 222,688.60

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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.