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Finding the Fourth Proportional to 136,290.96, 204,455.88 and 42,804

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Solution

The fourth proportional to 136,290.96, 204,455.88 and 42,804 is: 64,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,290.96 : 204,455.88 = 42,804 : x
  2. Step 2: Convert to fraction form
    136,290.96/204,455.88 = 42,804/x
  3. Step 3: Cross multiply
    136,290.96x = 204,455.88 × 42,804
  4. Step 4: Simplify right side
    136,290.96x = 8,751,529,487.52
  5. Step 5: Solve for x
    x = 8,751,529,487.52/136,290.96
  6. Step 6: Final answer
    x = 64,212.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.