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Finding the Fourth Proportional to 152,057.82, 228,072.14 and 46,848.54

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Solution

The fourth proportional to 152,057.82, 228,072.14 and 46,848.54 is: 70,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,057.82 : 228,072.14 = 46,848.54 : x
  2. Step 2: Convert to fraction form
    152,057.82/228,072.14 = 46,848.54/x
  3. Step 3: Cross multiply
    152,057.82x = 228,072.14 × 46,848.54
  4. Step 4: Simplify right side
    152,057.82x = 10,684,846,773.68
  5. Step 5: Solve for x
    x = 10,684,846,773.68/152,057.82
  6. Step 6: Final answer
    x = 70,268.31

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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.