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Finding the Fourth Proportional to 243,669.44, 365,642.40 and 96,029.12

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Solution

The fourth proportional to 243,669.44, 365,642.40 and 96,029.12 is: 144,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,669.44 : 365,642.40 = 96,029.12 : x
  2. Step 2: Convert to fraction form
    243,669.44/365,642.40 = 96,029.12/x
  3. Step 3: Cross multiply
    243,669.44x = 365,642.40 × 96,029.12
  4. Step 4: Simplify right side
    243,669.44x = 35,112,317,906.69
  5. Step 5: Solve for x
    x = 35,112,317,906.69/243,669.44
  6. Step 6: Final answer
    x = 144,098.16

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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.