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Finding the Fourth Proportional to 183,102, 252,684.68 and 103,614

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Solution

The fourth proportional to 183,102, 252,684.68 and 103,614 is: 142,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,102 : 252,684.68 = 103,614 : x
  2. Step 2: Convert to fraction form
    183,102/252,684.68 = 103,614/x
  3. Step 3: Cross multiply
    183,102x = 252,684.68 × 103,614
  4. Step 4: Simplify right side
    183,102x = 26,181,670,433.52
  5. Step 5: Solve for x
    x = 26,181,670,433.52/183,102
  6. Step 6: Final answer
    x = 142,989.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.