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Finding the Fourth Proportional to 183,497, 275,291.74 and 52,169

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Solution

The fourth proportional to 183,497, 275,291.74 and 52,169 is: 78,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,497 : 275,291.74 = 52,169 : x
  2. Step 2: Convert to fraction form
    183,497/275,291.74 = 52,169/x
  3. Step 3: Cross multiply
    183,497x = 275,291.74 × 52,169
  4. Step 4: Simplify right side
    183,497x = 14,361,694,784.06
  5. Step 5: Solve for x
    x = 14,361,694,784.06/183,497
  6. Step 6: Final answer
    x = 78,266.65

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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.