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Finding the Fourth Proportional to 117,869.76, 176,798.88 and 43,992

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Solution

The fourth proportional to 117,869.76, 176,798.88 and 43,992 is: 65,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,869.76 : 176,798.88 = 43,992 : x
  2. Step 2: Convert to fraction form
    117,869.76/176,798.88 = 43,992/x
  3. Step 3: Cross multiply
    117,869.76x = 176,798.88 × 43,992
  4. Step 4: Simplify right side
    117,869.76x = 7,777,736,328.96
  5. Step 5: Solve for x
    x = 7,777,736,328.96/117,869.76
  6. Step 6: Final answer
    x = 65,985.85

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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.