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Finding the Fourth Proportional to 183,297.94, 274,971.51 and 78,141.51

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Solution

The fourth proportional to 183,297.94, 274,971.51 and 78,141.51 is: 117,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,297.94 : 274,971.51 = 78,141.51 : x
  2. Step 2: Convert to fraction form
    183,297.94/274,971.51 = 78,141.51/x
  3. Step 3: Cross multiply
    183,297.94x = 274,971.51 × 78,141.51
  4. Step 4: Simplify right side
    183,297.94x = 21,486,688,998.38
  5. Step 5: Solve for x
    x = 21,486,688,998.38/183,297.94
  6. Step 6: Final answer
    x = 117,222.75

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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.