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Finding the Fourth Proportional to 161,583, 242,383.14 and 50,783.64

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Solution

The fourth proportional to 161,583, 242,383.14 and 50,783.64 is: 76,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,583 : 242,383.14 = 50,783.64 : x
  2. Step 2: Convert to fraction form
    161,583/242,383.14 = 50,783.64/x
  3. Step 3: Cross multiply
    161,583x = 242,383.14 × 50,783.64
  4. Step 4: Simplify right side
    161,583x = 12,309,098,123.83
  5. Step 5: Solve for x
    x = 12,309,098,123.83/161,583
  6. Step 6: Final answer
    x = 76,178.18

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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.