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Finding the Fourth Proportional to 240,980.31, 361,569.60 and 105,974.91

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Solution

The fourth proportional to 240,980.31, 361,569.60 and 105,974.91 is: 159,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,980.31 : 361,569.60 = 105,974.91 : x
  2. Step 2: Convert to fraction form
    240,980.31/361,569.60 = 105,974.91/x
  3. Step 3: Cross multiply
    240,980.31x = 361,569.60 × 105,974.91
  4. Step 4: Simplify right side
    240,980.31x = 38,317,305,818.74
  5. Step 5: Solve for x
    x = 38,317,305,818.74/240,980.31
  6. Step 6: Final answer
    x = 159,005.96

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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.