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Finding the Fourth Proportional to 307,751.52, 461,622.48 and 157,905.36

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Solution

The fourth proportional to 307,751.52, 461,622.48 and 157,905.36 is: 236,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,751.52 : 461,622.48 = 157,905.36 : x
  2. Step 2: Convert to fraction form
    307,751.52/461,622.48 = 157,905.36/x
  3. Step 3: Cross multiply
    307,751.52x = 461,622.48 × 157,905.36
  4. Step 4: Simplify right side
    307,751.52x = 72,892,663,888.49
  5. Step 5: Solve for x
    x = 72,892,663,888.49/307,751.52
  6. Step 6: Final answer
    x = 236,855.58

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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.