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Finding the Fourth Proportional to 182,952.80, 274,312.40 and 77,717.60

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Solution

The fourth proportional to 182,952.80, 274,312.40 and 77,717.60 is: 116,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,952.80 : 274,312.40 = 77,717.60 : x
  2. Step 2: Convert to fraction form
    182,952.80/274,312.40 = 77,717.60/x
  3. Step 3: Cross multiply
    182,952.80x = 274,312.40 × 77,717.60
  4. Step 4: Simplify right side
    182,952.80x = 21,318,901,378.24
  5. Step 5: Solve for x
    x = 21,318,901,378.24/182,952.80
  6. Step 6: Final answer
    x = 116,526.78

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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.