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Finding the Fourth Proportional to 183,074.84, 252,428.04 and 146,747.24

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Solution

The fourth proportional to 183,074.84, 252,428.04 and 146,747.24 is: 202,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,074.84 : 252,428.04 = 146,747.24 : x
  2. Step 2: Convert to fraction form
    183,074.84/252,428.04 = 146,747.24/x
  3. Step 3: Cross multiply
    183,074.84x = 252,428.04 × 146,747.24
  4. Step 4: Simplify right side
    183,074.84x = 37,043,118,168.61
  5. Step 5: Solve for x
    x = 37,043,118,168.61/183,074.84
  6. Step 6: Final answer
    x = 202,338.66

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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.