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Finding the Fourth Proportional to 307,783.64, 461,721.54 and 97,351.64

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Solution

The fourth proportional to 307,783.64, 461,721.54 and 97,351.64 is: 146,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,783.64 : 461,721.54 = 97,351.64 : x
  2. Step 2: Convert to fraction form
    307,783.64/461,721.54 = 97,351.64/x
  3. Step 3: Cross multiply
    307,783.64x = 461,721.54 × 97,351.64
  4. Step 4: Simplify right side
    307,783.64x = 44,949,349,142.33
  5. Step 5: Solve for x
    x = 44,949,349,142.33/307,783.64
  6. Step 6: Final answer
    x = 146,042.04

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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.