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Finding the Fourth Proportional to 183,881.25, 253,759.46 and 102,217.14

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Solution

The fourth proportional to 183,881.25, 253,759.46 and 102,217.14 is: 141,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,881.25 : 253,759.46 = 102,217.14 : x
  2. Step 2: Convert to fraction form
    183,881.25/253,759.46 = 102,217.14/x
  3. Step 3: Cross multiply
    183,881.25x = 253,759.46 × 102,217.14
  4. Step 4: Simplify right side
    183,881.25x = 25,938,565,738.06
  5. Step 5: Solve for x
    x = 25,938,565,738.06/183,881.25
  6. Step 6: Final answer
    x = 141,061.50

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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.