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Finding the Fourth Proportional to 162,800.94, 224,593.74 and 98,234.16

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Solution

The fourth proportional to 162,800.94, 224,593.74 and 98,234.16 is: 135,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,800.94 : 224,593.74 = 98,234.16 : x
  2. Step 2: Convert to fraction form
    162,800.94/224,593.74 = 98,234.16/x
  3. Step 3: Cross multiply
    162,800.94x = 224,593.74 × 98,234.16
  4. Step 4: Simplify right side
    162,800.94x = 22,062,777,390.16
  5. Step 5: Solve for x
    x = 22,062,777,390.16/162,800.94
  6. Step 6: Final answer
    x = 135,519.96

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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.