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Finding the Fourth Proportional to 240,798.04, 361,220.82 and 83,005.72

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Solution

The fourth proportional to 240,798.04, 361,220.82 and 83,005.72 is: 124,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,798.04 : 361,220.82 = 83,005.72 : x
  2. Step 2: Convert to fraction form
    240,798.04/361,220.82 = 83,005.72/x
  3. Step 3: Cross multiply
    240,798.04x = 361,220.82 × 83,005.72
  4. Step 4: Simplify right side
    240,798.04x = 29,983,394,243.09
  5. Step 5: Solve for x
    x = 29,983,394,243.09/240,798.04
  6. Step 6: Final answer
    x = 124,516.77

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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.