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Finding the Fourth Proportional to 307,361.16, 461,043.90 and 97,020.36

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Solution

The fourth proportional to 307,361.16, 461,043.90 and 97,020.36 is: 145,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,361.16 : 461,043.90 = 97,020.36 : x
  2. Step 2: Convert to fraction form
    307,361.16/461,043.90 = 97,020.36/x
  3. Step 3: Cross multiply
    307,361.16x = 461,043.90 × 97,020.36
  4. Step 4: Simplify right side
    307,361.16x = 44,730,645,153.80
  5. Step 5: Solve for x
    x = 44,730,645,153.80/307,361.16
  6. Step 6: Final answer
    x = 145,531.22

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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.