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Finding the Fourth Proportional to 301,503.14, 451,829.52 and 166,627.95

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Solution

The fourth proportional to 301,503.14, 451,829.52 and 166,627.95 is: 249,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,503.14 : 451,829.52 = 166,627.95 : x
  2. Step 2: Convert to fraction form
    301,503.14/451,829.52 = 166,627.95/x
  3. Step 3: Cross multiply
    301,503.14x = 451,829.52 × 166,627.95
  4. Step 4: Simplify right side
    301,503.14x = 75,287,426,667.08
  5. Step 5: Solve for x
    x = 75,287,426,667.08/301,503.14
  6. Step 6: Final answer
    x = 249,706.94

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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.