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Finding the Fourth Proportional to 152,092.50, 228,138.75 and 41,284.50

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Solution

The fourth proportional to 152,092.50, 228,138.75 and 41,284.50 is: 61,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,092.50 : 228,138.75 = 41,284.50 : x
  2. Step 2: Convert to fraction form
    152,092.50/228,138.75 = 41,284.50/x
  3. Step 3: Cross multiply
    152,092.50x = 228,138.75 × 41,284.50
  4. Step 4: Simplify right side
    152,092.50x = 9,418,594,224.38
  5. Step 5: Solve for x
    x = 9,418,594,224.38/152,092.50
  6. Step 6: Final answer
    x = 61,926.75

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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.