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Finding the Fourth Proportional to 182,878.63, 274,434.58 and 77,697.60

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Solution

The fourth proportional to 182,878.63, 274,434.58 and 77,697.60 is: 116,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,878.63 : 274,434.58 = 77,697.60 : x
  2. Step 2: Convert to fraction form
    182,878.63/274,434.58 = 77,697.60/x
  3. Step 3: Cross multiply
    182,878.63x = 274,434.58 × 77,697.60
  4. Step 4: Simplify right side
    182,878.63x = 21,322,907,291.00
  5. Step 5: Solve for x
    x = 21,322,907,291.00/182,878.63
  6. Step 6: Final answer
    x = 116,595.95

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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.