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Finding the Fourth Proportional to 183,881, 253,759.14 and 102,216.92

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Solution

The fourth proportional to 183,881, 253,759.14 and 102,216.92 is: 141,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,881 : 253,759.14 = 102,216.92 : x
  2. Step 2: Convert to fraction form
    183,881/253,759.14 = 102,216.92/x
  3. Step 3: Cross multiply
    183,881x = 253,759.14 × 102,216.92
  4. Step 4: Simplify right side
    183,881x = 25,938,477,712.65
  5. Step 5: Solve for x
    x = 25,938,477,712.65/183,881
  6. Step 6: Final answer
    x = 141,061.22

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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.