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Finding the Fourth Proportional to 240,954.36, 361,477.14 and 96,871.32

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Solution

The fourth proportional to 240,954.36, 361,477.14 and 96,871.32 is: 145,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,954.36 : 361,477.14 = 96,871.32 : x
  2. Step 2: Convert to fraction form
    240,954.36/361,477.14 = 96,871.32/x
  3. Step 3: Cross multiply
    240,954.36x = 361,477.14 × 96,871.32
  4. Step 4: Simplify right side
    240,954.36x = 35,016,767,701.62
  5. Step 5: Solve for x
    x = 35,016,767,701.62/240,954.36
  6. Step 6: Final answer
    x = 145,325.31

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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.