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Finding the Fourth Proportional to 183,477.84, 275,265.97 and 146,178.56

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Solution

The fourth proportional to 183,477.84, 275,265.97 and 146,178.56 is: 219,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,477.84 : 275,265.97 = 146,178.56 : x
  2. Step 2: Convert to fraction form
    183,477.84/275,265.97 = 146,178.56/x
  3. Step 3: Cross multiply
    183,477.84x = 275,265.97 × 146,178.56
  4. Step 4: Simplify right side
    183,477.84x = 40,237,983,111.60
  5. Step 5: Solve for x
    x = 40,237,983,111.60/183,477.84
  6. Step 6: Final answer
    x = 219,307.05

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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.