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Finding the Fourth Proportional to 183,762.57, 275,274.78 and 83,785.23

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Solution

The fourth proportional to 183,762.57, 275,274.78 and 83,785.23 is: 125,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,762.57 : 275,274.78 = 83,785.23 : x
  2. Step 2: Convert to fraction form
    183,762.57/275,274.78 = 83,785.23/x
  3. Step 3: Cross multiply
    183,762.57x = 275,274.78 × 83,785.23
  4. Step 4: Simplify right side
    183,762.57x = 23,063,960,755.50
  5. Step 5: Solve for x
    x = 23,063,960,755.50/183,762.57
  6. Step 6: Final answer
    x = 125,509.57

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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.