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Finding the Fourth Proportional to 131,435.80, 197,234.70 and 52,541.80

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Solution

The fourth proportional to 131,435.80, 197,234.70 and 52,541.80 is: 78,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,435.80 : 197,234.70 = 52,541.80 : x
  2. Step 2: Convert to fraction form
    131,435.80/197,234.70 = 52,541.80/x
  3. Step 3: Cross multiply
    131,435.80x = 197,234.70 × 52,541.80
  4. Step 4: Simplify right side
    131,435.80x = 10,363,066,160.46
  5. Step 5: Solve for x
    x = 10,363,066,160.46/131,435.80
  6. Step 6: Final answer
    x = 78,845.08

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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.