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Finding the Fourth Proportional to 178,001.58, 266,960.83 and 51,607.90

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Solution

The fourth proportional to 178,001.58, 266,960.83 and 51,607.90 is: 77,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,001.58 : 266,960.83 = 51,607.90 : x
  2. Step 2: Convert to fraction form
    178,001.58/266,960.83 = 51,607.90/x
  3. Step 3: Cross multiply
    178,001.58x = 266,960.83 × 51,607.90
  4. Step 4: Simplify right side
    178,001.58x = 13,777,287,818.56
  5. Step 5: Solve for x
    x = 13,777,287,818.56/178,001.58
  6. Step 6: Final answer
    x = 77,399.81

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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.