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Finding the Fourth Proportional to 215,735.16, 323,572.50 and 91,047

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Solution

The fourth proportional to 215,735.16, 323,572.50 and 91,047 is: 136,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,735.16 : 323,572.50 = 91,047 : x
  2. Step 2: Convert to fraction form
    215,735.16/323,572.50 = 91,047/x
  3. Step 3: Cross multiply
    215,735.16x = 323,572.50 × 91,047
  4. Step 4: Simplify right side
    215,735.16x = 29,460,305,407.50
  5. Step 5: Solve for x
    x = 29,460,305,407.50/215,735.16
  6. Step 6: Final answer
    x = 136,557.74

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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.