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Finding the Fourth Proportional to 152,163.75, 228,201 and 57,325.50

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Solution

The fourth proportional to 152,163.75, 228,201 and 57,325.50 is: 85,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163.75 : 228,201 = 57,325.50 : x
  2. Step 2: Convert to fraction form
    152,163.75/228,201 = 57,325.50/x
  3. Step 3: Cross multiply
    152,163.75x = 228,201 × 57,325.50
  4. Step 4: Simplify right side
    152,163.75x = 13,081,736,425.50
  5. Step 5: Solve for x
    x = 13,081,736,425.50/152,163.75
  6. Step 6: Final answer
    x = 85,971.44

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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.