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Finding the Fourth Proportional to 307,970.80, 461,999.94 and 94,756.37

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Solution

The fourth proportional to 307,970.80, 461,999.94 and 94,756.37 is: 142,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,970.80 : 461,999.94 = 94,756.37 : x
  2. Step 2: Convert to fraction form
    307,970.80/461,999.94 = 94,756.37/x
  3. Step 3: Cross multiply
    307,970.80x = 461,999.94 × 94,756.37
  4. Step 4: Simplify right side
    307,970.80x = 43,777,437,254.62
  5. Step 5: Solve for x
    x = 43,777,437,254.62/307,970.80
  6. Step 6: Final answer
    x = 142,148.01

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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.