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Finding the Fourth Proportional to 273,949.04, 411,032.56 and 105,424.12

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Solution

The fourth proportional to 273,949.04, 411,032.56 and 105,424.12 is: 158,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,949.04 : 411,032.56 = 105,424.12 : x
  2. Step 2: Convert to fraction form
    273,949.04/411,032.56 = 105,424.12/x
  3. Step 3: Cross multiply
    273,949.04x = 411,032.56 × 105,424.12
  4. Step 4: Simplify right side
    273,949.04x = 43,332,745,929.35
  5. Step 5: Solve for x
    x = 43,332,745,929.35/273,949.04
  6. Step 6: Final answer
    x = 158,178.13

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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.