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Finding the Fourth Proportional to 183,222.16, 274,829.76 and 58,563.12

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Solution

The fourth proportional to 183,222.16, 274,829.76 and 58,563.12 is: 87,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,222.16 : 274,829.76 = 58,563.12 : x
  2. Step 2: Convert to fraction form
    183,222.16/274,829.76 = 58,563.12/x
  3. Step 3: Cross multiply
    183,222.16x = 274,829.76 × 58,563.12
  4. Step 4: Simplify right side
    183,222.16x = 16,094,888,214.45
  5. Step 5: Solve for x
    x = 16,094,888,214.45/183,222.16
  6. Step 6: Final answer
    x = 87,843.57

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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.