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Finding the Fourth Proportional to 116,224.08, 160,463.88 and 71,538

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Solution

The fourth proportional to 116,224.08, 160,463.88 and 71,538 is: 98,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,224.08 : 160,463.88 = 71,538 : x
  2. Step 2: Convert to fraction form
    116,224.08/160,463.88 = 71,538/x
  3. Step 3: Cross multiply
    116,224.08x = 160,463.88 × 71,538
  4. Step 4: Simplify right side
    116,224.08x = 11,479,265,047.44
  5. Step 5: Solve for x
    x = 11,479,265,047.44/116,224.08
  6. Step 6: Final answer
    x = 98,768.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.