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Finding the Fourth Proportional to 103,188.33, 154,782.50 and 82,543.05

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Solution

The fourth proportional to 103,188.33, 154,782.50 and 82,543.05 is: 123,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,188.33 : 154,782.50 = 82,543.05 : x
  2. Step 2: Convert to fraction form
    103,188.33/154,782.50 = 82,543.05/x
  3. Step 3: Cross multiply
    103,188.33x = 154,782.50 × 82,543.05
  4. Step 4: Simplify right side
    103,188.33x = 12,776,219,223.91
  5. Step 5: Solve for x
    x = 12,776,219,223.91/103,188.33
  6. Step 6: Final answer
    x = 123,814.58

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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.