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Finding the Fourth Proportional to 243,646.31, 365,801.04 and 137,105.54

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Solution

The fourth proportional to 243,646.31, 365,801.04 and 137,105.54 is: 205,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,646.31 : 365,801.04 = 137,105.54 : x
  2. Step 2: Convert to fraction form
    243,646.31/365,801.04 = 137,105.54/x
  3. Step 3: Cross multiply
    243,646.31x = 365,801.04 × 137,105.54
  4. Step 4: Simplify right side
    243,646.31x = 50,153,348,664.51
  5. Step 5: Solve for x
    x = 50,153,348,664.51/243,646.31
  6. Step 6: Final answer
    x = 205,844.90

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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.