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Finding the Fourth Proportional to 137,234.07, 205,814.07 and 48,475.89

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Solution

The fourth proportional to 137,234.07, 205,814.07 and 48,475.89 is: 72,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.07 : 205,814.07 = 48,475.89 : x
  2. Step 2: Convert to fraction form
    137,234.07/205,814.07 = 48,475.89/x
  3. Step 3: Cross multiply
    137,234.07x = 205,814.07 × 48,475.89
  4. Step 4: Simplify right side
    137,234.07x = 9,977,020,217.77
  5. Step 5: Solve for x
    x = 9,977,020,217.77/137,234.07
  6. Step 6: Final answer
    x = 72,700.75

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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.