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Finding the Fourth Proportional to 161,478, 242,256.15 and 50,670

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Solution

The fourth proportional to 161,478, 242,256.15 and 50,670 is: 76,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478 : 242,256.15 = 50,670 : x
  2. Step 2: Convert to fraction form
    161,478/242,256.15 = 50,670/x
  3. Step 3: Cross multiply
    161,478x = 242,256.15 × 50,670
  4. Step 4: Simplify right side
    161,478x = 12,275,119,120.50
  5. Step 5: Solve for x
    x = 12,275,119,120.50/161,478
  6. Step 6: Final answer
    x = 76,017.28

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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.