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Finding the Fourth Proportional to 160,821.80, 241,233.32 and 67,261.92

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Solution

The fourth proportional to 160,821.80, 241,233.32 and 67,261.92 is: 100,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,821.80 : 241,233.32 = 67,261.92 : x
  2. Step 2: Convert to fraction form
    160,821.80/241,233.32 = 67,261.92/x
  3. Step 3: Cross multiply
    160,821.80x = 241,233.32 × 67,261.92
  4. Step 4: Simplify right side
    160,821.80x = 16,225,816,271.17
  5. Step 5: Solve for x
    x = 16,225,816,271.17/160,821.80
  6. Step 6: Final answer
    x = 100,893.14

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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.