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Finding the Fourth Proportional to 307,971.06, 462,000.32 and 94,756.62

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Solution

The fourth proportional to 307,971.06, 462,000.32 and 94,756.62 is: 142,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971.06 : 462,000.32 = 94,756.62 : x
  2. Step 2: Convert to fraction form
    307,971.06/462,000.32 = 94,756.62/x
  3. Step 3: Cross multiply
    307,971.06x = 462,000.32 × 94,756.62
  4. Step 4: Simplify right side
    307,971.06x = 43,777,588,762.12
  5. Step 5: Solve for x
    x = 43,777,588,762.12/307,971.06
  6. Step 6: Final answer
    x = 142,148.38

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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.