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Finding the Fourth Proportional to 165,200.50, 247,799.94 and 46,872.06

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Solution

The fourth proportional to 165,200.50, 247,799.94 and 46,872.06 is: 70,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,200.50 : 247,799.94 = 46,872.06 : x
  2. Step 2: Convert to fraction form
    165,200.50/247,799.94 = 46,872.06/x
  3. Step 3: Cross multiply
    165,200.50x = 247,799.94 × 46,872.06
  4. Step 4: Simplify right side
    165,200.50x = 11,614,893,655.68
  5. Step 5: Solve for x
    x = 11,614,893,655.68/165,200.50
  6. Step 6: Final answer
    x = 70,307.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.