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Finding the Fourth Proportional to 117,688.44, 176,433.15 and 51,078.50

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Solution

The fourth proportional to 117,688.44, 176,433.15 and 51,078.50 is: 76,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,688.44 : 176,433.15 = 51,078.50 : x
  2. Step 2: Convert to fraction form
    117,688.44/176,433.15 = 51,078.50/x
  3. Step 3: Cross multiply
    117,688.44x = 176,433.15 × 51,078.50
  4. Step 4: Simplify right side
    117,688.44x = 9,011,939,770.11
  5. Step 5: Solve for x
    x = 9,011,939,770.11/117,688.44
  6. Step 6: Final answer
    x = 76,574.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.