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Finding the Fourth Proportional to 301,503.56, 451,830.14 and 166,628.37

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Solution

The fourth proportional to 301,503.56, 451,830.14 and 166,628.37 is: 249,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,503.56 : 451,830.14 = 166,628.37 : x
  2. Step 2: Convert to fraction form
    301,503.56/451,830.14 = 166,628.37/x
  3. Step 3: Cross multiply
    301,503.56x = 451,830.14 × 166,628.37
  4. Step 4: Simplify right side
    301,503.56x = 75,287,717,184.51
  5. Step 5: Solve for x
    x = 75,287,717,184.51/301,503.56
  6. Step 6: Final answer
    x = 249,707.56

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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.