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Finding the Fourth Proportional to 103,815.90, 155,896.65 and 57,102.30

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Solution

The fourth proportional to 103,815.90, 155,896.65 and 57,102.30 is: 85,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815.90 : 155,896.65 = 57,102.30 : x
  2. Step 2: Convert to fraction form
    103,815.90/155,896.65 = 57,102.30/x
  3. Step 3: Cross multiply
    103,815.90x = 155,896.65 × 57,102.30
  4. Step 4: Simplify right side
    103,815.90x = 8,902,057,277.30
  5. Step 5: Solve for x
    x = 8,902,057,277.30/103,815.90
  6. Step 6: Final answer
    x = 85,748.50

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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.