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Finding the Fourth Proportional to 307,803.20, 461,646.48 and 108,076.64

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Solution

The fourth proportional to 307,803.20, 461,646.48 and 108,076.64 is: 162,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,803.20 : 461,646.48 = 108,076.64 : x
  2. Step 2: Convert to fraction form
    307,803.20/461,646.48 = 108,076.64/x
  3. Step 3: Cross multiply
    307,803.20x = 461,646.48 × 108,076.64
  4. Step 4: Simplify right side
    307,803.20x = 49,893,200,426.23
  5. Step 5: Solve for x
    x = 49,893,200,426.23/307,803.20
  6. Step 6: Final answer
    x = 162,094.48

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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.