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Finding the Fourth Proportional to 164,410.38, 245,903.17 and 96,781.28

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Solution

The fourth proportional to 164,410.38, 245,903.17 and 96,781.28 is: 144,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,410.38 : 245,903.17 = 96,781.28 : x
  2. Step 2: Convert to fraction form
    164,410.38/245,903.17 = 96,781.28/x
  3. Step 3: Cross multiply
    164,410.38x = 245,903.17 × 96,781.28
  4. Step 4: Simplify right side
    164,410.38x = 23,798,823,369.66
  5. Step 5: Solve for x
    x = 23,798,823,369.66/164,410.38
  6. Step 6: Final answer
    x = 144,752.56

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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.