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Finding the Fourth Proportional to 114,714.01, 172,040.94 and 51,498.78

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Solution

The fourth proportional to 114,714.01, 172,040.94 and 51,498.78 is: 77,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,714.01 : 172,040.94 = 51,498.78 : x
  2. Step 2: Convert to fraction form
    114,714.01/172,040.94 = 51,498.78/x
  3. Step 3: Cross multiply
    114,714.01x = 172,040.94 × 51,498.78
  4. Step 4: Simplify right side
    114,714.01x = 8,859,898,520.05
  5. Step 5: Solve for x
    x = 8,859,898,520.05/114,714.01
  6. Step 6: Final answer
    x = 77,234.67

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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.