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Finding the Fourth Proportional to 307,977.06, 462,009.32 and 94,762.62

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Solution

The fourth proportional to 307,977.06, 462,009.32 and 94,762.62 is: 142,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,977.06 : 462,009.32 = 94,762.62 : x
  2. Step 2: Convert to fraction form
    307,977.06/462,009.32 = 94,762.62/x
  3. Step 3: Cross multiply
    307,977.06x = 462,009.32 × 94,762.62
  4. Step 4: Simplify right side
    307,977.06x = 43,781,213,627.62
  5. Step 5: Solve for x
    x = 43,781,213,627.62/307,977.06
  6. Step 6: Final answer
    x = 142,157.39

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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.