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Finding the Fourth Proportional to 241,262.80, 361,896.80 and 72,784.58

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Solution

The fourth proportional to 241,262.80, 361,896.80 and 72,784.58 is: 109,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,262.80 : 361,896.80 = 72,784.58 : x
  2. Step 2: Convert to fraction form
    241,262.80/361,896.80 = 72,784.58/x
  3. Step 3: Cross multiply
    241,262.80x = 361,896.80 × 72,784.58
  4. Step 4: Simplify right side
    241,262.80x = 26,340,506,591.34
  5. Step 5: Solve for x
    x = 26,340,506,591.34/241,262.80
  6. Step 6: Final answer
    x = 109,177.65

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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.