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Finding the Fourth Proportional to 307,850.10, 461,731.95 and 97,509.30

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Solution

The fourth proportional to 307,850.10, 461,731.95 and 97,509.30 is: 146,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,850.10 : 461,731.95 = 97,509.30 : x
  2. Step 2: Convert to fraction form
    307,850.10/461,731.95 = 97,509.30/x
  3. Step 3: Cross multiply
    307,850.10x = 461,731.95 × 97,509.30
  4. Step 4: Simplify right side
    307,850.10x = 45,023,159,232.14
  5. Step 5: Solve for x
    x = 45,023,159,232.14/307,850.10
  6. Step 6: Final answer
    x = 146,250.27

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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.