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Finding the Fourth Proportional to 182,652.76, 274,000.98 and 77,458.04

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Solution

The fourth proportional to 182,652.76, 274,000.98 and 77,458.04 is: 116,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,652.76 : 274,000.98 = 77,458.04 : x
  2. Step 2: Convert to fraction form
    182,652.76/274,000.98 = 77,458.04/x
  3. Step 3: Cross multiply
    182,652.76x = 274,000.98 × 77,458.04
  4. Step 4: Simplify right side
    182,652.76x = 21,223,578,868.88
  5. Step 5: Solve for x
    x = 21,223,578,868.88/182,652.76
  6. Step 6: Final answer
    x = 116,196.32

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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.