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Finding the Fourth Proportional to 307,966.60, 461,906.70 and 97,625.80

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Solution

The fourth proportional to 307,966.60, 461,906.70 and 97,625.80 is: 146,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,966.60 : 461,906.70 = 97,625.80 : x
  2. Step 2: Convert to fraction form
    307,966.60/461,906.70 = 97,625.80/x
  3. Step 3: Cross multiply
    307,966.60x = 461,906.70 × 97,625.80
  4. Step 4: Simplify right side
    307,966.60x = 45,094,011,112.86
  5. Step 5: Solve for x
    x = 45,094,011,112.86/307,966.60
  6. Step 6: Final answer
    x = 146,425.01

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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.