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Finding the Fourth Proportional to 136,193.67, 204,323.22 and 42,699.42

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Solution

The fourth proportional to 136,193.67, 204,323.22 and 42,699.42 is: 64,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,193.67 : 204,323.22 = 42,699.42 : x
  2. Step 2: Convert to fraction form
    136,193.67/204,323.22 = 42,699.42/x
  3. Step 3: Cross multiply
    136,193.67x = 204,323.22 × 42,699.42
  4. Step 4: Simplify right side
    136,193.67x = 8,724,482,986.53
  5. Step 5: Solve for x
    x = 8,724,482,986.53/136,193.67
  6. Step 6: Final answer
    x = 64,059.39

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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.