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Finding the Fourth Proportional to 307,975.04, 462,006.32 and 94,760.64

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Solution

The fourth proportional to 307,975.04, 462,006.32 and 94,760.64 is: 142,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,975.04 : 462,006.32 = 94,760.64 : x
  2. Step 2: Convert to fraction form
    307,975.04/462,006.32 = 94,760.64/x
  3. Step 3: Cross multiply
    307,975.04x = 462,006.32 × 94,760.64
  4. Step 4: Simplify right side
    307,975.04x = 43,780,014,567.24
  5. Step 5: Solve for x
    x = 43,780,014,567.24/307,975.04
  6. Step 6: Final answer
    x = 142,154.42

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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.