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Finding the Fourth Proportional to 183,907.50, 274,251.89 and 182,225.93

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Solution

The fourth proportional to 183,907.50, 274,251.89 and 182,225.93 is: 271,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,907.50 : 274,251.89 = 182,225.93 : x
  2. Step 2: Convert to fraction form
    183,907.50/274,251.89 = 182,225.93/x
  3. Step 3: Cross multiply
    183,907.50x = 274,251.89 × 182,225.93
  4. Step 4: Simplify right side
    183,907.50x = 49,975,803,427.12
  5. Step 5: Solve for x
    x = 49,975,803,427.12/183,907.50
  6. Step 6: Final answer
    x = 271,744.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.