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Finding the Fourth Proportional to 149,835.93, 224,753.09 and 61,089.09

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Solution

The fourth proportional to 149,835.93, 224,753.09 and 61,089.09 is: 91,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,835.93 : 224,753.09 = 61,089.09 : x
  2. Step 2: Convert to fraction form
    149,835.93/224,753.09 = 61,089.09/x
  3. Step 3: Cross multiply
    149,835.93x = 224,753.09 × 61,089.09
  4. Step 4: Simplify right side
    149,835.93x = 13,729,961,437.34
  5. Step 5: Solve for x
    x = 13,729,961,437.34/149,835.93
  6. Step 6: Final answer
    x = 91,633.30

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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.