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Finding the Fourth Proportional to 123,596.70, 185,351.85 and 64,412.70

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Solution

The fourth proportional to 123,596.70, 185,351.85 and 64,412.70 is: 96,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,596.70 : 185,351.85 = 64,412.70 : x
  2. Step 2: Convert to fraction form
    123,596.70/185,351.85 = 64,412.70/x
  3. Step 3: Cross multiply
    123,596.70x = 185,351.85 × 64,412.70
  4. Step 4: Simplify right side
    123,596.70x = 11,939,013,108.50
  5. Step 5: Solve for x
    x = 11,939,013,108.50/123,596.70
  6. Step 6: Final answer
    x = 96,596.54

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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.