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Finding the Fourth Proportional to 204,802.79, 307,340.82 and 71,683.04

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Solution

The fourth proportional to 204,802.79, 307,340.82 and 71,683.04 is: 107,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,802.79 : 307,340.82 = 71,683.04 : x
  2. Step 2: Convert to fraction form
    204,802.79/307,340.82 = 71,683.04/x
  3. Step 3: Cross multiply
    204,802.79x = 307,340.82 × 71,683.04
  4. Step 4: Simplify right side
    204,802.79x = 22,031,125,062.04
  5. Step 5: Solve for x
    x = 22,031,125,062.04/204,802.79
  6. Step 6: Final answer
    x = 107,572.39

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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.