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Finding the Fourth Proportional to 215,091.40, 322,593.90 and 102,771.40

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Solution

The fourth proportional to 215,091.40, 322,593.90 and 102,771.40 is: 154,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,091.40 : 322,593.90 = 102,771.40 : x
  2. Step 2: Convert to fraction form
    215,091.40/322,593.90 = 102,771.40/x
  3. Step 3: Cross multiply
    215,091.40x = 322,593.90 × 102,771.40
  4. Step 4: Simplify right side
    215,091.40x = 33,153,426,734.46
  5. Step 5: Solve for x
    x = 33,153,426,734.46/215,091.40
  6. Step 6: Final answer
    x = 154,136.46

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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.